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1 September, 11:24

A cylinder has a volume of 96 pi cubic centimeters and a diameter of 12 centimeters. What is the height of the cylinder in centimeters?

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Answers (2)
  1. 1 September, 11:27
    0
    2 2/3 cm

    Step-by-step explanation:

    The volume of a cylinder is given by

    V = pi r^2 h

    We know the volume = 96 pi and the diameter is 12

    We want the radius

    r = d/2 = 12/2 = 6

    96 pi = pi * (6) ^2 h

    96 pi = 36 pi h

    Divide each side by 36 pi

    96 pi/36 pi = 36pi h / 36 pi

    8/3 = h

    Changing from an improper fraction to a mixed number

    2 2/3 = h
  2. 1 September, 11:50
    0
    Answer: the height of the cylinder is 2.67 centimeters

    Step-by-step explanation:

    The formula for determining the volume of a cylinder is expressed as

    Volume = πr²h

    Where

    r represents the radius of the cylinder.

    h represents the height of the cylinder.

    π is a constant whose value is 3.14

    From the information given,

    volume = 96 pi cubic centimeters

    Diameter = 12 centimeters

    Radius = diameter/2 = 12/2 = 6 centimeters

    Therefore,

    96π = π * 6² * h

    96π = 36π * h

    Dividing the left hand side and the right hand side of the equation by 36π, it becomes

    96π/36π = 36π/36π * h

    h = 2.67 centimeters
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