the area of circular base of a cone is 616 cm² and its slant height is 20.5 cm find the curved surface area and the total surface area of th

Question

the area of circular base of a cone is 616 cm² and its slant height is 20.5 cm find the curved surface area and the total surface area of the cone​

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Neala 4 months 2021-08-04T19:23:00+00:00 1 Answers 2 views 0

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    2021-08-04T19:24:05+00:00

    Answer:

    The curved surface area is 902 cm^2

    The total surface area is 1,518 cm^2

    Step-by-step explanation:

    We can get the radius from the area of the circular base

    The area of the circular base is;

    A = pi * r^2

    616 = pi * r^2

    r^2 = 196.078

    r= √196.078

    r = 14 cm

    The curved surface area is;

    pi * r * l

    = 22/7 * 14 * 20.5

    A = 902 cm^2

    The total surface area is the sum of the curved surface area and the area of the circular base

    That will be;

    902 + 616 = 1,518 cm^2

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