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QUESTION
Sketch the region defined by the inequalities $0\leq x\leq\pi,
0\leq y\leq\pi, 0\leq z\leq\pi$.
\begin{description}
\item[(i)]
If the region is occupied by a solid $S$ whose density at the
point $(x,y,z)$ is $3y^2z\sin(x)$, calculate the total mass of $S$
using an appropriate triple integral.
\item[(ii)]
The plane $z=ay$ (where $0