1. The problem statement, all variables and given/known data Find the volume outside the sphere x2 + y2 + z2 = 1/2 and inside the sphere x2 + y2 + z2 = z 2. The attempt at a solution I've gotten as far as to visually seeing that's there's two spheres and determining that the radius of the first sphere is 1/√2. However, I'm still not clear as to how to approach this problem in order to find the bounds since the second equation is only equal to z. I think this is using spherical coordinates since the problem literally utilizes two spheres. My approach was to bring over the z, factor out the z and solve for it, leaving me with z = 0 and z = 1. Any help in clearing up this confusion is greatly appreciated.