The change of coordinates I used was. I don't think I'm mixing up my convention. I also don't understand why the volume element has to be positive.
##x=rcos\phi sin\theta##
##x=rsin\phi sin\theta##
##z=rcos\theta##
If you work through the integral you find
##\int_{0}^{2\pi} [-72...
Homework Statement
A sphere of radius 6 has a cylindrical hole of radius 3 drilled into it. What is the volume of the remaining solid.
The Attempt at a Solution
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I am able to solve this using cylindrical coordinates but I'm having trouble when I try to solve it in spherical coordinates...