Find the volume of the solid that lies under the paraboloid z = x^2 + y^2, above xy plane,(adsbygoogle = window.adsbygoogle || []).push({});

and inside the cylinder x^2 + y^2 = 2y

First, i try to find the range..

i transfer it to cylindrical coordinates..

sqrt(y^2)=<z<=r^2

i don't know how to find r

i know that phi is from 0 to 2pi because it's paraboloid right?

how am i going to eliminate y? because, y cannot exist in the cylindrical coordinate..

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# Homework Help: Triple integral of solid

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