Question

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a

base with a circumference of 30.144 feet, what is the volume of the sculpture? Use 3.14 for it.
The volume of the sculpture is about

Answer 1

192.92 ft^3

Explanation:

volume of a cone =
`(1)/(3)`πr²h

π = 3.14

r = radius ]

h = height

the base of a cone is in the shape of a circle. thus, the circumference of the base is equal to the circumference of a circle

circumference of a circle= 2πr

30.144 = 2 x 3.14 x r

r = 30.144 / 6.28

r = 4.8

Volume = 1/3 x 3.14 x 4.8² x 8 = 192.92 ft^3