Question

An artist creates a cone shaped sculpture for an art exhibit. If the sculpture is 6 feet tall and has a base with a circumference of 20.724 feet, what is the volume of the sculpture?

Answer 1

The correct answer is 68.33 cubic feet.

Explanation:

An artist creates a cone shaped sculpture for an art exhibit.

Height of the sculpture is 6 feet.

Circumference of the base is 20.724 feet.

Base of a cone is in the shape of a circle with circumference 20.724 feet.

Therefore 2 × π × r = 20.724, where r is the radius of the base and π =
`(22)/(7)`.

⇒ r = 3.297

Volume of the sculpture =
`(1)/(3)` × π × h ×
`r^(2)` =
`(1)/(3)` × π × 6 ×
`3.297^(2)` = 68.327028 ≈ 68.33 cubic feet.