 Your browser does not support the IFRAME tag. Home MonkeyNotes Printable Notes Digital Library Study Guides Message Boards Study Smart Parents Tips College Planning Test Prep Fun Zone Help / FAQ How to Cite New Title Request

 8.7 Sphere The simplest example of a sphere is a ball. One can call here that a circle is a set of points in a plane that are equidistant from one point in the plane. If this is extended to the third dimension, we have all points in space equidistant from one particular point forming a sphere. The sphere has only one surfaces and its surface area = 4p r2 The volume of a sphere = Example 1 If the lateral area of a right circular cylinder is 24p and its radius is 2 . What is its height. Solution : Lateral area of a right circular cylinder = 2 p r h Since r = 2 , LA = 4 p h. Given that LA = 24 p \ 24 p = 4 p h \ h = 6 units Example 2 Find the total area of the right circular cylinder with a radius of 10 units and a height of 5 units. Solution : Total area of a right circular cylinder is 2prh + 2p r2 If r = 10 and h = 5 Total area = 100p + 200 p = 300 p Example 3 What is the radius of the right circular cylinder with volume 18p cubic units and height = 2. Solution : Volume of right circular cylinder = pr2h where r = radius and h = height Given that V = 18p and h = 2 \ 18p = pr2 ´ 2 or r2 = 9 r = 3 units Example 4 If the perimeter and slant height of a regular pyramid are 10 and 3 respectively. Find its lateral area. Solution : For a regular pyramid lateral area, LA = ´ p ´ l where p = perimeter and l = slant height Given that p = 10 and l = 3 \ LA = ´ 10 ´ 3 = 15 square units. Example 5 If the volume of a sphere is 36p. Find its radius and surface area. Solution : ********** Index 8.1 Introduction to solid geometry 8.2 Prism 8.3 The cuboid and the cube 8.4 Cylinders 8.5 Pyramids 8.6 Right circular cone 8.7 Sphere Chapter 9
 Search: All Products Books Popular Music Classical Music Video DVD Toys & Games Electronics Software Tools & Hardware Outdoor Living Kitchen & Housewares Camera & Photo Cell Phones Keywords: 