# Filling a swimming pool

A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end. Water is being pumped into the pool at 1/4 cubic meter per minute, and there is 1 meter of water at the deep end.

(a) what percent of the pool is filled?

(b) At what rate is the water level rising?

https://brainmass.com/math/geometry-and-topology/filling-swimming-pool-52890

#### Solution Preview

Please see the attached file for diagram.

a. Area of the trapezoid is = h(a+b)/2 = 12*(1+3)/2 = 24 (m2)

Volume of the pool = Area * width = 24 *6 = 144 ...

#### Solution Summary

The solution provides a very detailed and step-by-step explanation (incl. sketch) for the problem.

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