Hi, 1. The problem statement, all variables and given/known data I am trying to compute the volume bounded by the sphere x2+y2+z2 = 4 and outside the cylinder x2+y2=2x. 2. Relevant equations 3. The attempt at a solution The cylinder's equation is obviously (x-1)2+y2=1, but I am not sure how to formulate the integration for the volume. Using cylindrical coordinates, should the formulation be: ∫(θ=0,2π)dθ∫(r=1,2)dr∫(z=0,sqrt(4-r2))?