1. The problem statement, all variables and given/known data Find the volume between 2 paraboloids. 2. Relevant equations z = 4x^2+8y^2 z= 30-x^2-y^2 3. The attempt at a solution So I switched the variables to polar coordinates. z = 30-r^2 z=4r^2*sin^2(θ)+8r^2*cos^2(θ) Now I want to solve for r. However I get a very ugly looking value for r that does not integrate very well.