Set up the triple integral in Cartesian coordinates for the volume of the region inside both the sphere x^2+y^2+z^2=144 and the cylinder x^2+y^2=16.

Question

Set up the triple integral in Cartesian coordinates for the volume of the region  inside both the sphere x^2+y^2+z^2=144 and the cylinder x^2+y^2=16.

anonymous · Answer

You need to start by finding the equation of the intersection of the two solids.  I think it will be pretty clear how to proceed from there.

anonymous · Answer

Well thanks it's at least a start.

anonymous · Answer

So that intersection equation is the solid you want to find the volume of.  From there, it is like doing the Cartesian triple integral for any other shape

anonymous · Answer

Thanks that helps!