$(1$ point$)$ You are visiting your friend Fabio's house, You find that, as a joke, he filled his swimming pool with Kool$-$Aid mixture, which dissolved into the water perfectly. However, now that you want to swim, you must remove all of the Kool$-$Aid contaminated water.

The swimming pool is round, with a $16\mathrm{.}5$ foot radius. It is $7$ feet tall and has $1\mathrm{.}5$ feet of water in it$.$

How much work is required to remove all of the water by pumping it over the side?

Answer:

$($Use the physical definition of work, and the fact that the weight of the Kool$-$Aid contaminated water is $=64\mathrm{.}2lb\frac{s}{f}{t}^3)$