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.

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