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28 May, 10:50

An equilateral triangle of side 14 centimeters is revolved about an altitude to form a cone. What is the number of cubic centimeters in the volume of the cone?

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  1. 28 May, 12:22
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    First find the height of the triangle using the Pythagorean theorem:

    Height = √ (14^2 - 7^2)

    Height = √ (196 - 49)

    Height = √147

    Height = 7 √3

    Now find the volume of the cone:

    Volume = PI x r^2 x H/3

    Volume = 3.14 x 7^2 x 7√3/3

    Volume = 621.8177 cubic cm's.

    Round the answer as needed.
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