(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the volume bounded by the paraboloid z= 2x^{2}+y^{2}and the cylinder z=4-y^{2}. Diagram is included that shows the shapes overlaying one another, with coordinates at intersections. (Will be given if necessary)

2. Relevant equations

double integral? function1-function2?

3. The attempt at a solution

I saw from previous threads involving volumes, but still am lost when I try to do my own problem :\ Most paraboloid involving problems start by changing to polar coordinates- should I do it for this one? I know that at the end it will end up being a double integral, but I am not sure how to set it up.

physics forums have been a big help. Thanks!

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# Homework Help: Finding volume bounded by paraboloid and cylinder

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