Women in Combat - 1316 Words

I m an American soldier too Can a woman handle fighting in combat? Should women be able to come face to face with the enemy? Will women be able to control their emotions and take the horror that war inflicts? Should women be grateful that they are not included in such a terrible thing as combat, or is it wrong to exclude them just because they are women? I say if a woman chooses this kind of challenge, then she is more than capable. During the daring rescue of prisoner of war Jessica Lynch from an Iraqi hospital, the first commando to reach Lynch identified himself as a United States soldier. The 19-year-old Army private replied, I m an American soldier, too. Jessica Lynch is more than a soldier, she s a symbol, too Ââ€" one who†¦show more content†¦If a woman is not taken seriously, then how could she possibly achieve a role of leadership? Excuse No. 3: Women have an adverse effect on male bonding and cohesion in a unit. People were afraid the women might fall in love, or even get pregnant. However, Time has shown that military units of mixed sexes have quietly maintained order, accomplished missions, and passed operational readiness inspections with flying colors. They re too busy doing their jobs to worry about who uses which latrine. Desert Storm is a classic example of mixed units performing as cohesive and effective teams even under fire. Excuse No. 4: Captured women possibly will be raped and tortured. Women who choose to join the military are already fully aware of this possibility. They become informed and prepared before they complete basic training. Every soldier understands that becoming a POW means the possibility of abuse and torture. As the experiences of Lynch and Spec. Shoshanna Johnson highlight, keeping women out of combat positions Ââ€" both were with the 507th Maintenance Company when captured Ââ€" does not protect them from becoming POWs and possibly facing this danger. Rape, of course, is not a torture restricted by gender, nor is the determination to withstand whatever the enemy dishes out. The qualities that are most important in all military jobs, things like integrity, moral courage and determination, have nothing to do with gender. On the day of March 23rd, 2003, the 507thShow MoreRelatedWomen in Combat1883 Words   |  8 PagesWomen in Combat Women in combat is an issue that I believe should be given a little more thought and attention. I personally feel that women should be allowed to be in ground combat operations if they desire to do so. I do not feel that it is fair to exclude someone from performing a job within the military simply due to their gender. I do feel that women who want to go to combat should be able to perform the same physical tasks as the men currently in those positions. This issue hits closeRead More Women in Combat Essay1249 Words   |  5 PagesWomen in Combat   Ã‚  Ã‚  Ã‚  Ã‚  Women have played a tremendous role in many countries armed forces from the past to the present. Women have thoroughly integrated into the armed forces; all positions in the armed forces should be fully accessible to women who can compete with men intellectually and physically. Yet, many argue that the distinction between combat and non-combat becomes blurred in the context of women warfare (Ladin; Holm, Hoar). In actuality, many women are assigned to jobs that willRead MoreEssay on Women in Combat1560 Words   |  7 PagesTherefore, the standards for enlisting in military combat positions are as high as possible to ensure that we can create soldiers that are effective as these â€Å"perfect-world† soldiers. There are obviously men and women who are not able to meet these standards, but there are definitely also men and women who are highly capable of meeting and/or exceeding these standards. While some individuals feel that the biological differences between men and women in combat would put our military at a disadvantage, evidenceRead More Women in Combat Essay1217 Words   |  5 Pages nbsp;nbsp;nbsp;nbsp;nbsp;Women in Front Line Combat When it comes to combat assignments and the needs of the military, men take precedence over all other considerations, including career prospects of female service members. Female military members have been encouraged to pursue opportunities and career enhancement within the armed forces, which limit them only to the needs and good of the service due to women being not as â€Å"similarly situated† as their male counterparts when it comes to strengthRead MoreEssay On Women In Combat1782 Words   |  8 Pages316 October 22, 2017 Women in Combat Since before time, women have always had less power compared to men. Men have always been the ones who have had the power to make decisions, the power to incorporate new ideas, and have a powerful role within society. Unfortunately, in some countries, women are not valued enough nor respected. There have been many cases within some cultures that women live a life of misery because they don’t have freedom. However, in some countries women have gained the rightRead MoreEssay Women in Combat1323 Words   |  6 PagesThe United States military views its diverse force as one of its greatest assets. Senior Air Force leaders recognize the monumental contributions both men and women make in support of their country daily. Americans serving in any branch of service know it is not a nine-to-five job but rather a calling. It is about being a part of the Profession of Arms. Airmen are warriors. The third verse of the Air Force Airman’s Creed states, â€Å"I am an American A irman, Guardian of Freedom and Justice, My Nation’sRead MoreWomen In Combat Essay1777 Words   |  8 Pagespart of humanity almost as long as humanity itself. However, women at war have not been. History has many stories about exceptional women serving honorably on the battlefield. In many cases Women on the battlefield are liabilities. During World War II both the Soviets and Germans tried placing women on the front lines when they were desperate for fighting soldiers. Male troops forgot their combat responsibilities in order to protect the women fighting beside them. This made their units less effectiveRead MoreWomen Should Be Legal For Combat977 Words   |  4 PagesWomen should be allowed to serve in combat roles in the military Some argue that women should not serve in combat because; they have never served in any type of combat operations in the history of the American military. Positions in the military have been designed specifically for women and how they perform their duties. No evidence can be produced that women have the abilities, physical strength, or motivation to engage in combat operations, the physical differences from their male counterpartsRead MoreWomen in Combat Roles in the Military851 Words   |  3 PagesPhysical differences between men and women come up in careers such as the military. The military career requires great responsibility, dedication, and sacrifice. The key to achieving a good performance in this field is to have an excellent physical ability. Women with physical training can exceed men without physical training. In addition, women have to have great value to develop this type of careers. The equality and teamwork are two fundamental reasons too. Over the years, it has be en thoughtRead MoreWomen Serving For Combat Positions1464 Words   |  6 PagesIntroduction/Objective: Women serving in combat positions has been a highly controversial topic and is openly criticized by many. The push for equality by allowing women to serve in combat positions is not just isolated to a few military branches of service. Secretary Carter stated, â€Å"For the first time in U.S. military history, as long as they qualify and meet specific standards, women will be able to contribute to the Defense Department mission with no barriers at all in their way.† (Pellerin

Developments in American History Over Four Centuries Essay

This essay will discuss five significant developments in American History from discovery until 1877. They are as follows: The American Revolution (1775-1783), the signing of the Declaration of Independence (1776), the Ratification of the Constitution (1787), the Louisiana Purchase (1803), and the Civil War (1861-1865). Though American history has experienced many developments over the years, it is the firm belief of the author that these five developments were instrumental in propelling thirteen loosely associated colonies into the path of what would develop into the United States of America. This essay will show why the Revolutionary War was the first step toward democracy, how the Declaration of Independence signaled the birth of a†¦show more content†¦The signing of the Declaration of Independence was a cornerstone in American history because it sent a message. It was a brilliantly written document penned by Thomas Jefferson intentionally to deliver a message, â€Å" We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among these are Life, Liberty, and the pursuit of Happiness.† A line in the sand had been drawn. The Declaration gave us the foundation for a government, created by men, stating that the powers of government came from the consent of the governed rather than by a monarch with power given by divine right through inheritance. The Declaration of Independence stated clearly each injustice carried out against the colonies by King George sending the message we would rise to independence! If this document had not been written and endorsed by the founding fathers of our nation, it is likely that the British might have continued in their arrogance and not taken our stand for liberty seriously. Perhaps they might have even won the war since they had superior numbers, a seasoned army and a professional navy. Previously, if a capital c ity was captured the war would come to an abrupt halt. But still, the colonists continued to fight until British morale was so demoralized thatShow MoreRelatedThe Shaping Of Our Country1092 Words   |  5 PagesCeleste Munoz U.S History I to 1876 Mr. William Stowe 28 November 2014 The shaping of our country has been impacted by several different factors, each contributing to it in their own way. Four of the major pivot points that occurred consists of: Jeffersonian democracy, Jacksonian democracy, Civil War/Reconstruction, Revolution/Constitution. However one of them happened to be the most impacting which was the Civil War and Reconstruction. The American Civil War occurred during 1861 to 1865Read MoreHow Have New Emphases And Interpretative Lenses Is History1269 Words   |  6 Pages How have new emphases and interpretative lenses emphasizing history from below affected the more traditional subfields of political, military, diplomatic, and sectional history and how do they affect world history. During the past century these four subfields have evolved within themselves to rise from their traditional methodologies of study to incorporating social and cultural historiography to better analyze their subject matter; while turning from an inner study, as it applies to the UnitedRead MoreThe Battle Of The American Civil War1335 Words   |  6 PagesLooking back with hindsight and the knowledge of warfare of the 21st century it is easy to say that the American Civil War was simply put, a very traditional war. Thinking of modern tactics and a course of numbers and deployment one might come to the conclusion that the Civi l War was fought centuries ago; nevertheless, it only occurred 152 years ago. This hard fought national struggle was in fact a very modern war for many simple reasons, including the emergence of a new form of large national governmentRead MoreReview of the Objective of Norm in American by Michael Schudson907 Words   |  4 PagesThe objective of norm in American, by Michael Schudson, explores how and why the objective norms developed in American journalism. Objective is one of the most important occupational values of American journalism, it can be identified by following measures: express allegiance, ethnographers’ observations and occupational routines, resist with the challenging behaviour, impersonality and non-partisanship in news content. Differencing from some scholars’ opinions that economic and technological changeRead MoreHistory of Music Education in America1580 Words   |  7 Pagesa great history from the beginning. It began with the migration of people from Europe. They colonized the states and began life there. They eventually fought for their freedom and now are the United States of America. Within this history is another profound history, which is the history of music education in America. Music education has changed and grown dramatically from century to century from the 18th century to present times. Each century show a great moment and growth in the history of musicRead MoreThe Mission Of Community Colleges1130 Words   |  5 Pagesan equal opportunity for higher education access. In this research paper, there will be four guided questions: 1. What was the original mission of community colleges? 2. How has the community colleges mission changed over time? 3. How did the organizational culture impact the community colleges? 4. What are societal factors impacted when community colleges decided to change their mission? Since there are four guided questions to help address the main research question. There will also be some subtopicsRead MoreRacial Differences Between African Americans And Europeans1326 Words   |  6 Pagescharacters like that in books and novels are formed by an African presence, a presence that has a three parts towards its development. The first part is through the â€Å"hierarchic difference† between African-Americans and Europeans, which was established years ago and is the simplest feature of the development. Basically, it is the established belief of Europeans’ academic dominance over that of Africans, and the view of Africans as ignorant and savage beast, not even humans. This belief is indeed how slaveryRead MoreAmerican Imperialism : A Part Of United States History1463 Words   |  6 PagesAmerican Imperialism American Imperialism has been a part of United States history ever since the American Revolution. Imperialism is the practice by which large, powerful nations seek to expand and maintain control or influence on a weaker country. Throughout the years, America has had a tendency to take over other people s land. Authors like Frederick Jackson Turner, Alfred Thayer Mahan, Albert J. Beveridge, Mark Twain, and William James all distinctive perspectives on U.S expansion and imperialismRead MoreThe Dark Social Developments Of The United States Of African Americans894 Words   |  4 PagesThe 1960s, including the dark social developments of the period, are an obstruction to understanding the present states of African Americans, contends Clarence Lang. While Americans commend the present commemorations of different dark flexibility breakthroughs and the decision of the first dark president, the impacts of neoliberalism since the 1970s have been especially destroying to African Americans. Ami d the four centuries of the Trans-Atlantic slave exchange individuals from several distinctiveRead MoreResponse to Turners Essay on The Significance of the Frontier in American History501 Words   |  3 Pagesthe Frontier in American History Turners The Significance of the Frontier in American History essay presents the primary model for comprehending American history. Turner developed his notions on the uncovering of the 1890 census that the frontier was coming to an end, that the nation had occupied its continental borders. As Turner discusses in his essay, an extensive era of American development approached an ending, but left enduring marks on American society. A major

Workplace Conflicts for Interests and Principles -myassignmenthelp

Question: Discuss about theWorkplace Conflicts for Interests and Principles. Answer: Introduction Workplace conflict or organizational conflict is a very common issue in the business world. Due to the conflicts, the sometimes the organizations get benefitted and sometimes they get affected. Workplace conflict is a situation of disharmony, generated from the real or supposed opposition of requirements, interests and principles among the people working together (Sonnentag, Unger and Ngel 2013). The conflict takes many forms in different organizations. Clash is always inevitable between the formal authority and management and the subordinate employees. The subject for conflict also varies in different organizations. Differences in the ideology, points of view and unhealthy competition can result in conflicts in the workplace (Katz and Flynn 2013). The positive and negative impacts of the workplace conflict and the ways to resolve them are explained in the following discussion. Discussion Workplace conflicts are classified in the following types, Personal, Intragroup and Intergroup. Power, work style and personality clash results in personal conflicts. Intragroup conflicts arise due to lack of freedom, resources and position. Some people prefer to work independently and when confronts with interdependence within a group, conflicts occur. Lastly, intergroup conflicts arise horizontally and vertically. Conflicts and competition between the functions result in horizontal clash, and competition between hierarchical levels result in vertical clash (Goetsch and Davis 2014). Same situations can result in both positive and negative impacts, depending on the way of handling it and attitude of the people involved in it. Positive impacts Conflicts often influence the change in the organizations, especially in the small businesses. Due to workplace conflicts, organizations often are forced to modify the operation procedures and policies and design and implement new ones. Extreme conflict within the organization can lead to complete change of the leadership and management positions and new people come with new ideas (Demsky, Ellis and Fritz 2014). Competition is an outcome of workplace conflict. When employees try to outdo each other to achieve the goals that benefit the organization, healthy competitions occur and it is a positive effect of conflicts. For example, when two sales people compete to increase their sales target to get more incentives, it also helps the company to earn more revenues. It also helps to bring in motivation among the other employees (Meier et al. 2013). conflicts often bring in creativity in the organizational operations and objectives. When people with good and creative ideas come together and argue to establish their points, in most cases a creative solution comes up and that motivate the employees. When the motivation comes through conflict, that pushes the productivity level of people to the maximum. Hence, healthy conflict is always welcome by the organizations (Gilin Oore, Leiter and LeBlanc 2015). Negative impacts Personal issues and emotions often create negative conflict in the workplace. In many cases, the higher authority often put forward their power and position for controlling the subordinates and peers. When a person misuses his power for any personal conflict then it is a negative impact of the workplace conflict (Moore 2014). Due to intragroup and intergroup conflicts, sometimes the optimum output is not achieved. Organizational goals are compromised to achieve the goals of the groups. Thus, sub-optimization arises. The clash of the groups to become superior often leads to unnecessary conflicts and competition becomes unhealthy. Conflicts often result in wastage of precious resources, time and reputation of the company. Employees often waste their time and efforts by involving in the conflicts rather than meeting the goals. Hence, time and resources both are wasted and it also creates a negative image of the company in the business world (Meier et al. 2013). Ways to resolve workplace conflicts In simple terms, conflict is disagreement between people on various issues. Often the leadership and workplace conflicts are related. An efficient leadership is necessary to resolve the conflicts in the organization. Since, conflicts cannot be avoided, hence, it is rational and sensible to accept the conflict and find out a solution by properly mitigating the negative impacts and embracing the positive impacts. Hence, leaders play a very important role in resolving the conflicts. Manipulative people exist in every organization, who create conflicts by using emotions to cover up their lack of quality. A strong leader can only reduce such conflicts through efficient leadership and motivational skills (Myatt 2012). The effective ways to handle conflicts are as follows: Defining acceptable behavior: An organization must define the acceptable behavior and norms beforehand, and penalties for failing to comply with those. A well defined norm and effective communication can help in resolving the conflicts. Conflict prevention: Finding out the areas for potential conflict can help the company to prevent the possible conflicts. It needs efficient management and leadership to find out the possible reasons of a potential conflict and resolving them beforehand. Still, if the conflict does arise, the severity can be reduced quickly in this way (Goetsch and Davis 2014). Understanding of the gains of the people: Conflicts often arise due to the issue on personal gains. It is important to understand the motivational factors for the people and help them achieving their goals. This way personal conflict can be handled. Importance factor: The management must understand the importance of the issue of conflict or potential conflict and should address it accordingly. It should not neglect any important issue and must handle it with utmost priority. Conflict as an opportunity: Every conflict has a scope of learning. Disagreements on ideas often result in potential scope for growth and development. It opens up new ideas for growing, diversifying and expanding the business opportunities. The divergent positions can lead to innovations and creativity, leading personal and organizational growth (Myatt 2012). Conclusion Workplace conflict exists in almost every organization. This is a situation, which cannot be avoided. However, the severity can be reduced if handled properly. Conflicts bring healthy competition among the employees and that pushes to company towards further growth. On the other hand, sometimes it results in wastage of time and resources and creates a bad image for the company. Efficient leadership and management policies can help in resolving and preventing conflicts in workplaces. Lastly, every organization should find out the learning scopes from the conflicts and must utilize the opportunities that results from the conflicts. References Demsky, C.A., Ellis, A.M. and Fritz, C., 2014. Shrugging it off: Does psychological detachment from work mediate the relationship between workplace aggression and work-family conflict?.Journal of occupational health psychology,19(2), p.195. Gilin Oore, D., Leiter, M.P. and LeBlanc, D.E., 2015. Individual and organizational factors promoting successful responses to workplace conflict.Canadian Psychology/Psychologie canadienne,56(3), p.301. Goetsch, D.L. and Davis, S.B., 2014.Quality management for organizational excellence. Upper Saddle River, NJ: pearson. Katz, N.H. and Flynn, L.T., 2013. Understanding conflict management systems and strategies in the workplace: A pilot study.Conflict Resolution Quarterly,30(4), pp.393-410. Meier, L.L., Gross, S., Spector, P.E. and Semmer, N.K., 2013. Relationship and task conflict at work: Interactive short-term effects on angry mood and somatic complaints.Journal of Occupational Health Psychology,18(2), p.144. Moore, C.W., 2014.The mediation process: Practical strategies for resolving conflict. John Wiley Sons. Myatt, M., 2012.5 Keys of Dealing with Workplace Conflict. [online] Forbes.com. Available at: https://www.forbes.com/sites/mikemyatt/2012/02/22/5-keys-to-dealing-with-workplace-conflict/#6c1f55d01e95 [Accessed 9 Oct. 2017]. Sonnentag, S., Unger, D. and Ngel, I.J., 2013. Workplace conflict and employee well-being: The moderating role of detachment from work during off-job time.International Journal of Conflict Management,24(2), pp.166-183.

Solid Geometry Essay Example

Solid Geometry Essay SOLID MENSURATION REVIEWER (2 Semester 2011-2012) PYRAMIDS 1. A vessel is in the form of an inverted regular square pyramid of base edge 13 cm and the altitude is 25 cm, how many liters are in it when the depth of the water is 15 cm? A(small Square) h(Water) A(Big Square) = h(container) 2 A(small Square) 15 2 = 252 13 2 2 (15 )(13 ) 2 A(small Square) = 25 2 A(small Square) = 60. 84cm 1 V = 3 Bh 1 V= 3 (60. 84)(15) 3 V=304. 2 cm ? 0. 304. 2 L 2. The lateral faces of a regular square pyramid are o isosceles triangles whose base angles are 55 each. If the ateral edge is 200 cm, find the lateral area and volume of the pyramid. 2 2 2 l – slant height h =(163. 83) – (114. 72) l o sin55 =200 h=116. 96 cm o l=200sin55 l=163. 83 cm e o cos55 =200 o 200cos55 =e e=114. 72 2e=229. 4 cm (163. 83)(229. 4) 2 2 S = 75,175. 2 cm S= 2 (229. 4 )(116. 96) 3 3 V= 2,051,181. 2cm V= 4. Find the volume and total surface area of a frustum of a regular hexagonal pyramid if the base edges are 8 cm and 6 cm, respectively and the altitude is 20 cm. hf V= 3 [B+B1+sqrt. (BB1)] hf 3 3 33 2 2 V= 3 ? 2 ? (6 ) + ? 2 ? (8 ) + ? ? ? ? ()() 33 2 33 2 2 (6 ) + V = 2563. 47 cm 2 (8 ) 3 r1 = 2 (6) = 5. 2 cm 3 r2 = 2 (8) = 6. 93 cm r2-r1 = x x=6. 93-5. 2 x=1. 73 2 2 l =20 + 1. 73 l= 20. 07cm *x- yung base ng right triangle 2 20. 07[(6)(6)+(6)(8)] 2 2 S=842. 94 cm S= CONES 2 1. The total area of right circular cone is 48? cm . If the altitude of the cone is equal to the diameter of the base, find the slant height and R. h=d h=2R 2 2 l= h +R 2 2 l = 4R +R l= 5 R 2 Atotal= ? Rl+? R 2 48? =? R( 5 R)+? R 2 2 48? = ? R 5 +? R 2 48? =R (? 5 +? ) 2 R =14. 83 cm R= 3. 85 cm 2. A tool is made up of a cone on top of a cylinder. We will write a custom essay sample on Solid Geometry specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on Solid Geometry specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on Solid Geometry specifically for you FOR ONLY $16.38 $13.9/page Hire Writer The 3. A pyramid having a altitude of 450 cm and a base with an area of 930 cm is cut 120 cm from the vertex by a plane that is parallel to the plane of the base. Find the area of the section. 2 A(small) h (small) = h2 A(big) (original height) 2 A(small) 120 =4502 930 2 (120 )(930) 2 A(small)= 4502 = 66. 13 cm cylinder has a height h of 15 cm and a radius of 5 cm. The 2 volume of the cone is 100 ? cm . O is the vertex of the cone, AB is the diameter of the base of the cone and C its Center. Points O, A, B and C are in the same plane. Find the lateral surface area. 12 V= 3 ? r h 12 100= 3 (5 )? h h= 12cm 2 2 S= ? r h +r +2? rh 2 2 S= 5? 12 +5 +2? (5)(12) S= 675. 4 cm 4. 3. A right circular cone of slant height 5cm has a radius of 15 cm. Find the angleof sector of a circle of radius 10cm, if the area of the sector is equal to the lateral area of the cone. S=? (15)(5) 2 S=235. 6 cm S=Asector x= 2 (235. 6 cm )(360)=100 o ?=269. 9 PRISMS 1. The lateral edge of a parallelepiped is 8cm and a plane is passed cutting this edge at a right angle to form a right section which is a square. If the lateral 2 area is 320cm , find the edge of the right section. S = ePr 320 = (8)Pr 40 = Pr 40 = 4e e = 10cm 2. A plane is passed through two opposite edges of a ube forming a diagonal section bounded by the two opposite edges and the diagonals of two opposite CYLINDERS 1. When a body is immersed in water in a right circular cylinder 40cm in diameter, the level of the water rises 20 cm. What is the volume of the body? 2 V1 = (? r ) x 2 V2 = (? r ) (x+20) VBody = V2 – V1 2 2. 2 49 2 = e (e 2 ) 2 3. 32 Abase = 4 e 3 2 Abase = 4 (12) Abase = 36 3 h Finding h: sin 30 = 12 h=6 2 VBody = ((? r )(x+20))- ((? r )x) faces. If the area of the section is 49 2 cm . Find the edge of the cube. 49 2 = e 2 2 e = 49 e=7 Find the volume of an oblique triangular prism hose base in an equilateral triangle the side of which is 12cm. The lateral edge of the prism is equal to the side of the base and inclined to the base plane o at angle of 30 . V = (Abase) (h) ?d1 ? 2+ ? d2 ? 2 ?2 ? ?2 ? x = 9. 01 S = ePr S = 13 (9. 01) (4) 2 S = 468. 52cm ? Asector=360 ? (R)2 ? Asector=360 (100) V = (36 3 ) (6) 3 V = 374. 1 2cm A right section of an oblique prism is a rhombus whose diagonals are 10cm and the lateral edge of the prism is 13cm. Find the lateral area. S = ePr 3. VBody = 400? (x+20) 400? x VBody = 400? x + 8000? 400? x 3 VBody = 8000? cm The diameter of the base of a circular cylinder is 8cm and the elements are inclined to the base at an angle o of 30 . If an element is 7cm long, find the volume and the lateral area of the cylinder. V =? , S =? , h =? h = 7sin30 = 3. 5 2 V = ? r h 2 =? (4 ) (3. 5) = 56? 3 = 175. 93cm S = 2? rh = 2? (4)(3. 5) = 28? 2 = 87. 96cm Find the lateral area and the total area of a cylindrical cell whose height equals its diameter if it has to hold 50kg of water. r =? , S =? , AT =? *1kg = 1L V = 50kg = 50L = 50 000cm h = d = 2r 2 V = ? r h 2 V = ? (r )2r 3 50 000 = 2? r 3 4. 50 000 2? 3 r = 7957. 75 = 19. 96cm S = 2? rh 3 r= S = 2? (19. 96) ((2)(19. 96)) 2 S = 5 006. 46cm AT = 2B + S 2 = 2 (? r ) + 5 006. 96 2 = 2 (? 19. 96 ) + 5 006. 96 2 = 7 510. 19cm SPHERES 1. A sphere of radius 8cm rests in a circular hole of radius 3cm. How far below the plane of the hole does the sphere extend? 2. h = 8 82-32 h = 8 – 7. 42 h = 0. 58cm A sphere of radius 6cm rests on 3 horizontal wires forming a plane triangle whose sides are 5cm, 12cm, and 13cm. Find the height of the top of the sphere above the plane of the wires. 2 2 h = 6 + 6 -r 1 2 rP = s(s-13)(s-5)(s-12) P = 13+5+12 = 30 P s = 2 = 15 1 rP = 15(15-13)(15-5)(15-12) 15r = 900 15r = 30 r=2 2 h = 6 + 6 -2 3. 2 h = 6 + 32 h = 11. 66cm A square is inscribed in a small circle of a sphere whose great circle has a radius of 9cm. If the plane of the square is 6cmfrom the center of the sphere, find the perimeter of the square. Psquare = 4e 2 d 2 2 9 =6 + ? 2 ? d = 13. 42 d=e 2 13. 42 = e 2 e = 9. 49 Psquare = 4(9. 49) = 37. 96cm An ornamental spherical ball made of bronze has an outer diameter of 1. 2m and a uniform thickness of 3 13cm. If bronze weighs 8. 5 mg/cm , find the weight of the ball. V = V1 – V2 4 34 3 V = 3 ? r1 3 ? r2 4 34 3 V = 3 ? 60 3 ? 47 3 3 V = 469 885. 91cm x 8. 5 mg/cm V = 3 994 030. 235 mg 5. 6. A hollow metal sphere 35cm in diameter is used as a float. If the metal sphere sinks to the depth of 12cm, what is the area of the wetted surface? Z = 2? rh Z = 2? (17. 5) (12) 2 Z = 1 319. 47cm On a sphere of a diameter 125cm, two circles of the spheres whose planes are parallel have radii 20cm and 50cm, respectively. Find the area of the zone included between these cirlces. Z = 2? rh h = h1 + h 2 2 2 2 2 h1 = 62. 5 -20 h1 = 59. 21 h2 = 62. 5 -50 h2 = 37. 5 h = 59. 21+37. 5 h = 96. 71 Z = 2? (62. 5) (96. 71) Z = 37 977. 93