A swimming pool is 6 feet deep at the deep end. It is 10 by 16 feet at the top and 10 by 4 feet at the bottom Suppose the pool is filled to a depth of 5 feet (at the deep end) and a pump is placed at the top edge of the pool. (a) Let the density of water be denoted by ρ pounds per cubic foot. Find the work that is required to pump out all of the water in terms of ρ.

A swimming pool is 6 feet deep at
the deep end. It is 10 by 16 feet
at the top and 10 by 4 feet at the
bottom

Suppose the pool is filled to a depth of 5 feet (at the deep end) and a pump is placed
at the top edge of the pool.
(a) Let the density of water be denoted by ρ pounds per cubic foot. Find the work
that is required to pump out all of the water in terms of ρ.