1. The problem statement, all variables and given/known data I have to find the volume of the region bounded by a cone and cylinder. (double integral style!) I usually start off with a sketch, but I can't seem to figure out what this one quadratic surface looks like... It's a cylinder (in 3-dimensional plane): x2+y2=2ay 3. The attempt at a solution I know that the equation of a cylinder is just x^2+y^2=a in 3-d. I also know the equations of a hyperbolic, oblique, and parabolic cylinder......but I don't think this is one of those. Anyone willing to help me out, or at least point me in some sort of direction! Thanks.