Find the volume of the solid which lies inside the sphere (x^2) + (y^2) + (z^2) = 9 and outside the cylinder (x^2) + (y^2) = 4. The problem hints to use polar coordinates.
the volume inside of the cylinder bounded top and bottom by the sphere can be found using
these substitutions x= rcos y=rsin and z=z.
then you should be able to get the answer
(remember to use the appropriate jacobian for the integrand when using these transformations!)
hope this helps