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15 April, 02:32

Find the radius of a cylinder with a volume of 108ft and height of 12 ft

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Answers (2)
  1. 15 April, 02:58
    0
    1.69 ft (approx.)

    Step-by-step explanation:

    Formula for Volume of cylinder: pi x radius squared x height

    Plug in 108 for volume, 3.14 for pi and 12 for height:

    108 = 3.14 x r squared x 12

    Multiply 3.14 and 12

    108 = 37.68 x r squared

    Divide both sides by 37.68

    2.87 = r squared

    "Unsquare" both sides (square root)

    1.69 ft. = radius (approximate answer, rounded to nearest hundredth)
  2. 15 April, 03:25
    0
    1.69 ft

    Step-by-step explanation:

    V = πr²h formula of a cylinder.

    Volume = 108 ft

    Height = 12 ft

    Radius = r

    V = πr²h

    108 ft = 22/7 * r² * 12 ft

    π = 22/7 or 3.14

    108 ft = 264/7r²

    108 ft = 37.71r²

    divide both sides by 37.71

    108 ft/37.71 = r²

    2.86 ft = r²

    square root both side

    √2.86 ft = √r²

    the square cancels the square root

    1.69 ft.

    To check

    V = πr²h

    108 = 22/7 * (1.69) ² 12

    108 = 22/7 * 2.8561 * 12

    108 = 107.61≈108

    108 ft = 108 ft.
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