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31 March, 07:46

The volume of a cone is 20m^3. What is the volume of a cylinder with the same base and height?

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Answers (2)
  1. 31 March, 07:56
    0
    V = 59.97m^3

    Step-by-step explanation:

    Volume of a cone

    V = πr^2h/3

    V - volume

    π - pie

    r - radius

    h - height

    Given

    V = 20

    π - 3.14

    Since the cylinder has the same base and height

    r = h

    Let r = h be x

    Substitute x for r = h in the formula

    V = πr^2h/3

    20 = 3.14 * x^2 * x/3

    20 = 3.14/3 * x^3

    20 = 1.047x^3

    x^3 = 20/1.047

    x^3 = 19.102

    x = 2.673

    r = h = x

    r = h = 2.673

    Volume of a cylinder

    V = πr^2h

    r = 2.673

    h = 2.673

    π - 3.14

    V = 3.14 * 2.673^2 * 2.673

    = 3.14 * 7.145 * 2.673

    = 59.97m^3
  2. 31 March, 08:07
    0
    60 m³

    Step-by-step explanation:

    V of cone = ⅓ * BA * height

    V of cylinder = BA * height

    V of cone = ⅓ V of cylinder

    V of cylinder = 3 V of cone

    = 3 (20)

    = 60
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