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5 January, 11:21

Find the surface area of the cone shown. Find the surface area of a cone with the same slant height and triple the diameter. Use 3.14 for pi 24 cm is the diameter and 41 cm is the slant height

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  1. 5 January, 14:17
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    surface area = 8704.08 cm²

    Step-by-step explanation:

    The surface area of a cone is given by the formula;

    SA = πr² + πrL

    Where r is radius and L is slant height

    We are given;

    Diameter = 24cm

    Slant height; L = 41 cm

    We are told that this new cone has a diameter that is triple of the one given.

    Thus, new diameter = 24 x 3 = 72 cm

    Thus, Radius; r = 72/2 = 36 cm

    SA = π (36) ² + π (36) (41)

    SA = (3.14 * 1296) + (3.14 * 1476)

    SA = 8704.08 cm²
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