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## Homework Statement

The portion of the paraboloid 2z=x^2+y^2 that is inside the cylinder x^2+y^2=8

## The Attempt at a Solution

my attempt was that i would turn this into polar coordinates and solve that integral but is it right? I came up with

http://gyazo.com/78f4ae60e703dd6028e1f32f1b7ad9df