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.

Answer 1

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.

Answer 2

Well thanks it's at least a start.

Answer 3

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

Answer 4

Thanks that helps!