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7 November, 07:17

Below. If the cone has a diameter of 9 inches with a slant

height of 7.5 inches, find the total surface area of the solid.

12 in

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Answers (1)
  1. 7 November, 08:43
    0
    169.67in²

    Step-by-step explanation:

    This problem bothers on the mensuration of solid shapes, a cone

    The expression for the total surface area of the cone is

    A = πrl + πr²

    Given data

    Diameter d = 9in

    Radius r = d/2 = 9/2 = 4.5in

    Slant height l = 7.5in

    A = πrl + πr²

    Substituting our given data we have

    A = 3.142*4.5*7.5 + 3.142*4.5²

    A = 106.04+63.63

    A = 169.67in²

    The total surface area is 169.67in²
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