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.

Answer 1

94.954 ft³

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