1. The problem statement, all variables and given/known data Find the volume of the solid that lies above the cone z = root(x2 + y2) and below the sphere x2 + y2 + x2 = z. 2. Relevant equations x2 + y2 + x2 = ρ2 3. The attempt at a solution The main issue I have with this question is finding what the boundary of integration is for ρ. I tried to solve for it by: https://dl.dropbox.com/u/64325990/Photobook/Photo%202012-06-10%207%2041%2030%20PM.jpg [Broken] I end up getting 0 ≤ ρ ≤ root(2)sinΦ. However the answer says the 0 ≤ ρ ≤ cosΦ, what am I doing wrong?