Question

A swimming pool has a rectangular base 10 ft long and 20 ft wide. The sides are 4 ft high, and the pool is half

full of water. How much work will it take to empty the pool by pumping the water out over the top of the
pool? Assume that the water weighs 62.4 lb/ft3. Give your answer to the nearest ft · lb.

Answer 1

Answer:74880 ft.lb

Explanation:

Given

Dimension of pool

base=10 ft

width=20 ft

height=4 ft

Pool is half filled

volume of Pool
`=10* 20* 2=400 ft^3`

mass of water
`=\rho * volume`

mass
`=62.4* 400=24,960 lb`

This pool is in the form parallelepiped therefore average distance
`=(4+2)/(2)=3`

Work
`= 249600* 3=74880 ft.lb`