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\textbf{Math 225: Calculus III}
\hfill\makebox[2.5in][r]{Habibah Bell}

\textbf{Quiz 8}\quad \textsl{November 8, 2002}

\bigskip

1. Let $E$ be the solid region bounded by the planes $x=1$, $z=0$, $z=x$,
and the surface $x = 2 - y^2$. Express $\iiint_E yz\,dV$ as an iterated
integral. (Do not evaluate the integral.)

\vspace*{4in}

2. Let $E$ be the solid between the concentric hemispheres $x^2 + y^2 + z^2 =
16$, $z \ge 0$, and $x^2 + y^2 + z^2 = 4$, $z \ge 0$. Assuming the density
at each point is inversely proportional to its distance from the origin,
find the mass of $E$. (Let $k$ denote the constant of proportionality.)

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