The problem statement, all variables and given/known data The outermost integral is: -2 to 2, dx The middle integral is: -sqrt(4-x^2) to sqrt(4-x^2), dy The inner most integral is: x^+y^2 to 4, dz The attempt at a solution Drawing the dydx in a simple 2d (xy) plane, it is circular with a radius of 2. So this means that the period(theta) will go from 0 to 2pi. Drawing in 3d (xyz) yields a hemisphere/paraboloid. Now this is where I'm stuck. I don't know what to do after this or how to really tackle this problem. Do I want to attempt to draw a 'slice' of it in the spherical outline with the variables phi, rho, theta? Do I have to look at it a certain way (2d or 3d)? I just don't see what I can do! Any help or guidance is greatly appreciated!!