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{\bf Math 225 : Quiz\hfill Nov.\ 15, 1991}

Show your work and circle your final answer.

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1. Find the volume of the solid that is bounded above by $z = 4 - x^2$, on the side by $x^2 + y^2 = 4$, and on the bottom by the $xy$-plane.

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2. Integrate $\rho = \sqrt{x^2 + y^2 + z^2}$ over the solid bounded by $\rho = 1 - \cos(\phi)$ in spherical coordinates.

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