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