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15 December, 15:03

Two cylinders are similar. The radius of cylinder A is 5.6 inches. The radius of cylinder B is 1.4 inches. I the height of cylinder B inches. What is the height of cylinder A

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  1. 15 December, 16:37
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    The answer is 16 inches.

    Let r be a radius and h be a height of a cylinder

    Since the cylinders are similar, then the ratio between their radiuses is equal to the ratio of their heights:

    r1 : r2 = h1 : h2

    Cylinder A:

    r1 = 5.6 in

    h1 = ?

    Cylinder B:

    r2 = 1.4 in

    h2 = 4 in

    5.6 : 1.4 = h1 : 4

    h1 = 4 * 5.6 : 1.4

    h1 = 16 inches
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