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1 December, 21:01

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 7 feet tall and has a base with a circumference of 22.608 feet, what is the volume of the sculpture? Use 3.14 for pi.

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  1. 1 December, 21:55
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    94.954 ft³

    Step-by-step explanation:

    The formula for the volume of a cone is V = (1/3) (base area) (height).

    Here the circumference of the base is C = 2πr = 22.608 ft = 2 (3.14) r, which enables us to find r:

    r = (22.608 ft) / (6.28) = 3.6 ft

    The formula for the volume of a cone is V = (1/3) (base area) (height).

    Using the given data, we have The formula for the volume of a cone is V = (1/3) (πr²) (7 ft), or

    V = (1/3) (3.14) (3.6²) (7 ft), or

    = 94.954 ft³
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