The volume of a solid sphere of radius r is given by the equation V=4/3TTr^3. Derive this equation by using either the disk or shell method for finding the volume of a solid of revolution.

Question

The volume of a solid sphere of radius r is given by the equation V=4/3TTr^3.  Derive this equation by using either the disk or shell method for finding the volume of a solid of revolution.

anonymous · Answer

If you were to revolve a shape around the x axis to produce a sphere, what would it look like?

Once you have determined this function the rest is simply mechanical.
The limits of integration will be obvious.