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4 June, 12:53

the altitude of a right circular cone is 8cm and the radius of the base is 6cm what is its total surface area

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  1. 4 June, 13:43
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    301.44 cm ^ 2

    Step-by-step explanation:

    We have that the total surface area of a cone would be the sum of the base area and the lateral surface area.

    the area of the base, being a circle is pi * r ^ 2

    the lateral area would come being the multiplication between the inclined height, the radius and the number pi, that is to say pi * r * l

    the inclined height is calculated using the Pythagorean theorem, the legs being the radius and the altitude, thus:

    l ^ 2 = 6 ^ 2 + 8 ^ 2

    l ^ 2 = 100

    l = 10

    Therefore, we can replace:

    A = 3.14 * 6 ^ 2 + 3.14 * 10 * 6

    A = 301.44

    It means that the total surface area is 301.44 cm ^ 2
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