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31 January, 20:41

A cylinder and a cone have congruent bases and the same volume. What could be the height of the cylinder and the height of the cone? A height of cylinder = 4 cm height of cone = 12 cm B height of cylinder = 12 cm height of cone = 3 cm C height of cylinder = 12 cm height of cone = 16 cm D height of cylinder = 36 cm height of cone = 12 cm

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  1. 31 January, 22:48
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    Step-by-step explanation:

    The volume of a cylinder is expressed as

    V = πr^2h

    Where

    π is a constant

    h is the height of the cylinder

    The volume of a cone is expressed as

    V = 1/3πr^2h

    Where

    π is a constant

    h is the height of the cone

    If the cylinder and a cone have congruent bases and the same volume, it means that

    πr^2h = 1/3πr^2h

    πr^2 cancels out on both the left hand side and right hand side of the equation. It becomes

    h = h/3

    It means that the height of the cone is 3 times the height of the cylinder. Therefore,

    If height of cylinder = 4 cm, height of cone = 12 cm
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