Question

Use polar coordinates to find the volume of the given solid.

Answer 1

Inside the sphere x^{2} + y^{2} + z^{2} = 16 and outside the cylinder x^{2} + y ^{2} = 4.

Answer 2

So first draw a picture, based on the given information:

The sphere is centered at (0, 0, 0) and has radius 4.
The cylinder is also centered at (0, 0, 0) and has radius 2.