1. The problem statement, all variables and given/known data Use cylindrical coordinates to find (a) the volume and (b) the centroid of the solid S bounded above by the plane z=y and below by the paraboloid z=x2+y2. 2. Relevant equations V= ∫∫∫dv x= r cos θ, y=sin θ, z=z 3. The attempt at a solution For the first integral I got that the limits are from r2 to r sin θ, then I integrated with respect to z, but after that I don't know where "r" begins and ends how do I find the interval?