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Paraphin [41]
3 years ago
11

An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 7 feet tall and has a base with a circumferen

ce of 22.608 ​feet, what is the volume of the​ sculpture? Use 3.14 for pi.
Mathematics
1 answer:
antoniya [11.8K]3 years ago
6 0

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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