1. The problem statement, all variables and given/known data Shown in the photo attached. 2. Relevant equations ∫V r2Sinθdθdφdr in spherical coordinates ∫V dxdydz in cartesian coordinates equation of a sphere x2+y2+z2=r2 3. The attempt at a solution In this case y=(y-2): sphere displaced on the y-axis. and since it is bound by all planes its going to be one quarter of a sphere. I don't get the part where the question says translate the origin to the shape centre, how can I do this? and also I need someone to check my limits of integration. I attached my answer.