Given a cone and a sphere , find the area above the cone and under the sphere.
I figure if I convert this into polar coordinates it will simplify the calculations, so I'll have for the radius since . Now for the angles, I'm not 100% sure, but I would imagine that they're in a neighborhood on the xz and yz planes, but if we consider the xy plane then this will just be a circle centered at 0 with radius 1.
I figure I'll have:
but without the values for , I can't continue.