1. The problem statement, all variables and given/known data Sketch the solid B that lies inside the surface x^2 + y^2 = 1 and is bounded above and below by the surface x^2 + y^2 + z^2= 2^2. Then find the volume of B. 2. Relevant equations projxy = projection onto the xy plane, proj zy = projection on the zy plane 3. The attempt at a solution (See attached) http://img511.imageshack.us/img511/440/chibusq.jpg [Broken] I just wanted to check whether my definition of the integration is correct, meaning: 1) Is the function of the integration right? (Since the circle on the xy plane is x^2 + y^2 = 1, i've used that) 2) Are the limits correct? Thanks for any help!