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## Homework Statement

Evaluate the integral below, where H is the solid hemisphere x^2 + y^2 + z^2 ≤ 9, z ≤ 0

[tex]\iiint 8-x^2-y^2\,dx\,dy\,dz[/tex].

## Homework Equations

none

## The Attempt at a Solution

[tex]\int_{0}^{2\pi} \int_{\frac{\pi}{2}}^{\pi} \int_{0}^{3} (8-2p^2 \sin^2{\phi}) p^2 \sin{\phi}\ ,dp\,d\phi\, d\theta [/tex]

do I set up the integral right?