Volume Problem

1. Feb 1, 2007

bodensee9

Can someone explain to me how to find the volume of the following? I am asked to use cylindrical coordinates to find the volume of the solid enclosed by the sphere r^2+a^2 = a^2 and by the cone z = r cot φ where φ is some fixed angle between 0 and pi/2?

I would have thought that the volume would be ∫∫∫zrdrdθ, where z runs between r*cot φ and √(a^2-r^2), r runs between 0 to a/csc φ, and θ runs from 0 to 2pi. Thanks!!

2. Feb 1, 2007

bodensee9

Never mind, figured it out. Thanks.