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17 June, 12:27

Water flows into a swimming pool at the rate of 5.85 gal/min. If the pool dimensions are 21.2 ft wide, 46.1 ft long and 19.4 ft deep, how long does it take to fill the pool? (1 gallon = 231 cubic inches) Answer in units of min.

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  1. 17 June, 16:14
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    First, calculate volume:

    volume = 21.2 ft * 46.1 ft * 19.4 ft

    volume = 18,960 ft^3

    Convert to gallon:

    volume = 18,960 ft^3 * (12 in / 1 ft) ^3 * (1 gallon / 231 in^3)

    volume = 141,830.71 gallon

    Therefore the time is:

    time = 141,830.71 gallon / (5.85 gal/min)

    time = 24,244.57 min
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