For detailed information about sphere, see the Solid Geometry entry, The Sphere.
The formula for the volume of the sphere is given by
Find the volume generated when the area in Example 1 will revolve about the y-axis.
Find the volume of the solid generated when the area bounded by the curve y2 = x, the x-axis and the line x = 2 is revolved about the x-axis.
The solid generated by rotating a plane area about an axis in its plane is called a solid of revolution. The volume of a solid of revolution may be found by the following procedures: