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## Homework Statement

Find the mass and center of mass of the solid S bounded by the paraboloid [tex]z=4x^2+4y^2[/tex] and the plane [tex]z=a\;\;(a>0)[/tex] if S has constant density K.

## Homework Equations

In cylindrical coordinates, [tex]x^2+y^2=r^2[/tex].

## The Attempt at a Solution

In order to find the mass, I tried

[tex]\int _0^{2\pi }\int _0^a\int _0^{\frac{\sqrt{z}}{2}}K\;drdzd\theta[/tex]

This didn't seem to work, though.