Hi,

I've been revising multivariate calculus for GRE and came across the following exercise:

Find the volume of a body, whose (x,y,z) coordinates satisfy

x^2+y^2+z^2 <= 2cz, x^2+y^2 >= 2az, 0 < a < c <= 2a.

The answer the book provides is (4pi/3)(c-a)^3. Is this indeed a correct answer?

I can't find any bugs in my solution, and my answer does not match this.

Thanks.