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26 November, 17:19

The circumference of the base of a cone is 24 - inches. The siant height of the cone is 20 inches.

What is the surface area of the cone? Express the answer in terms of.

240 square inches

384 n square inches

480 square inches

624 + square inches

+1
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  1. 26 November, 17:43
    0
    Answer: 384π inches

    Step-by-step explanation:

    the formula for surface area of a cone = 2πrh

    Circumference = 2πr

    24π = 2πr

    r = 24π/2π

    r = 12

    the radius of the base = 12inches

    Using pythagoras theorem,

    20^2 - 12^2 = 400 - 144 = 256 = 16^2

    The height of the cone = 16inches

    Therefore, the surface area of the cone = 2πrh

    = 2 * π * 12 * 16

    =384π inches
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