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15 October, 23:38

The formula for the volume of a cone is V = 1/3pir^2h where V represents the volume, r represents the radius of the base, h represents the height. What is the height of a cone with a volume of 66 cubic centimeters and a base with a radius of 3 centimeters?

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  1. 16 October, 02:33
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    H = 7cm

    Step-by-step explanation:

    Volume of a cone = V = ⅓πr²h

    H = ?

    R = 3cm

    V = 66cm³

    π = 3.14

    V = ⅓ * π * r² * h

    66 = ⅓ * 3.14 * 3² * h

    66 = ⅓ * 28.26h

    3 * 66 = 28.26h

    198 = 28.26h

    H = 198 / 28.26

    H = 7cm

    The height of the cone is 7cm
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