1. The problem statement, all variables and given/known data Find the volume using cylindrical coordinates bounded by: x2+y2+z2=2 and z = x2+y2 2. Relevant equations Converting to cylindrical coordinates: z = √2-r2 and z = r2 3. The attempt at a solution I figured z would go from r2 to √2-r2 r from 0 to √2 and θ from 0 to 2∏. However, when I evaluate the integral I get a negative volume. (And no, I did not forget to multiply by an extra r) I have no idea where I've gone wrong.