(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Funny looking equation for a paraboloid.

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