1. The problem statement, all variables and given/known data Find the volume between the two surfaces z = 2x^2 + y^2 z = 4 - y^2 2. Relevant equations 3. The attempt at a solution Ok so i found out that the surfaces intersect at a circle. When i solved i got x^2 + y^2 = 2, so the circle has a radius of sqrt 2. So these are the bounds i got. X goes from - sqrt 2 to sqrt 2, y goes from - sqrt 2-x^2 to sqrt 2-x^2 and z goes from 4-y^2 to 2x^2 + y^2. Is that right? If so, what is the equation I am integrating? Is it always integrating 1 dx dy dz?