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23 June, 13:19

9-32. Hernando needs to replace the hot water tank at his house. He estimates that his family needs a tank that can hold at

least 75 gallons of water. His local water tank supplier has a cylindrical model that has a diameter of 2 feet and a height

of 3 feet. If 1 gallon of water is approximately 0.1337 cubic feet, determine if the supplier's tank will provide enough

water.

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Answers (1)
  1. 23 June, 15:35
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    The suppliers tank won't deliver enough water.

    Step-by-step explanation:

    Hernando needs at least 75 gallons of water. His supplier has a cylindrical model that has a diameter of 2 ft and height of 3 ft. The volume of water at which his supplier tank can accommodate can be computed as follows.

    Since the suppliers model is a cylinder we will use volume of a cylinder formula.

    volume = πr²h

    where

    r = radius = 2/2 = 1 ft

    h = height = 3 ft

    volume = π * 1² * 3

    volume = 3.14 * 3

    volume = 9.42 ft³

    The suppliers volume of water is 9.42 ft³ and Hernando needs at least 75 gallons of water.

    Since

    0.1337 ft³ = 1 gallon of water

    9.42 ft³ = ? gallon of water

    cross multiply

    gallon of water = 9.42/0.1337

    gallon of water = 70.4562453254

    gallon of water = 70.47 gallons.

    The suppliers tank won't deliver enough water.
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