Jack is using a hose to fill a cylinder-shaped dunk tank with water. If the dunk tank is six feet tall and has a diameter of six feet, how l

Question

Jack is using a hose to fill a cylinder-shaped dunk tank with water. If the dunk tank is six feet tall and has a diameter of six feet, how long will it take to fill the tank if the hose flows at a rate of three cubic feet of water per minute? Round to the nearest minute 🙂 (3.14 for pi please)

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Audrey 1 week 2021-09-15T00:04:44+00:00 1 Answer 0

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    2021-09-15T00:06:41+00:00

    57 minute will take to fill the tank.

    Solution:

    Height of the cylinder = 6 ft

    Diameter of the cylinder = 6 ft

    Radius of the cylinder = 6 ÷ 2 = 3 ft

    Volume of the cylinder = πr²h

                                          = 3.14 × 3² × 6

    Volume of the cylinder = 169.56 cubic feet

    Time taken to fill 3 cubic feet of water = 1 minute

    Time taken to fill 169.56 cubic feet of water = \frac{169.56}{3}

                                                                             = 56.52 minute

                                                                             = 57 minute

    Hence 57 minute will take to fill the tank.

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