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Math Help - Finding height of cone

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    Finding height of cone

    The radius of a traffic cone is 14 centimeters and the lateral surface of the cone is 1617 square centimeters. Find the height of the cone.

    Don't know where to go from this.
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    Quote Originally Posted by A Beautiful Mind View Post
    The radius of a traffic cone is 14 centimeters and the lateral surface of the cone is 1617 square centimeters. Find the height of the cone.

    Don't know where to go from this.
    Hi A Beautiful Mind,

    The L.A. of a cone is given by \pi r l, where r = radius and l = slant height.

    Therefore, 1617=\pi (14)l

    l=\frac{1617}{14 \pi}

    Use the Pythagorean Theorem to find the height of the cone.

    \left(\frac{1617}{14 \pi}\right)^2=h^2+14^2
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