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

Question

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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Lyla 6 days 2021-10-06T19:56:34+00:00 1 Answer 0

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    2021-10-06T19:57:35+00:00

    Answer:

    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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