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16 April, 20:39

What is the surface area of a cone with a lateral surface area of 25 square inches and a base diameter of 4 inches? (Use 3.14 as an approximation for π.)

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  1. 16 April, 20:50
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    Step-by-step explanation:

    SA = πr2 + πrl

    l2 = h2 + r2

    l2 = 52 + 32

    l2 = 25 + 9

    l = √ (34)

    l = 5.83 cm

    And the total surface area of the cone is:

    SA = πr2 + πrl

    SA = π · r · (r + l)

    SA = π · 3 · (3 + 5.83)

    SA = 83.17 cm2

    Therefore, the total surface area of the cone is 83.17cm2
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