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If a swimming pool that has a diameter of 40 feet and a height of 5 feet can be filled in 50 minutes, how long will it take to fill a pool that has a diameter of 36 feet and a height of 6 feet?

  • math -

    We will start with calculating the volume of the pool, V
    V=πr²h
    =π(40/2)²*5
    =6283 cubic feet
    Filling time = 50 minutes
    Filling rate, R, is in cubic feet per minute
    R=6283/50=125.66 cubic feet/minute

    Volume of second pool
    = π(36/2)²*6
    = 6107 cubic feet

    Filling time
    = 6107/R
    = 48.6 minutes

  • math -

    87878

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