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11 August, 20:55

A cone has a radius of 7 in and a volume of 512.87 in3. what is the height?

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  1. 11 August, 22:14
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    Height of the cone is 9.99 in

    Step-by-step explanation:

    Step 1: Volume of a cone = 1/3 πr²h. Given volume of the cone = 512.87 in³ and r = 7 in. Find height, h.

    512.87 = 1/3 * 22/7 * 7² * h

    512.87 * 3 = 22 * 7 * h

    1538.61 = 154h

    ∴ h = 1538.61/154 = 9.99 in
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