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    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?

    © BrainMass Inc. brainmass.com October 9, 2019, 5:17 pm ad1c9bdddf

    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.