A swimming pool has dimensions $36\mathrm{.}0m13\mathrm{.}0m$ and a flat bottom. The pool is filled to a depth of $2\mathrm{.}50$ m with fresh water.

$($a$)$ What is the force exerted by the water on the bottom?

$$ N down

$($b$)$ What is the force exerted by the water on each end? $($The ends are $13\mathrm{.}0$ m $.)$

$$ N outward

$($c$)$ What is the force exerted by the water on each side? $($The sides are $36\mathrm{.}0$ m $.)$

$$ N outward