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 29.516 feet, what is the volume of the sculptur? Use 3.14 for

The volume of the sculpture is about
(Type an integer or decimal rounded to the nearest hundredth as needed)

Answer 1

Explanation:

The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.

To find the radius of the base, we can use the formula for the circumference of a circle: C = 2πr.

So, we have:

C = 29.516 feet

2πr = 29.516 feet

r = 29.516 / (2π) feet

r ≈ 4.698 feet

Now we can substitute the values of r and h into the formula for the volume of a cone:

V = (1/3)πr^2h

V = (1/3)π(4.698^2)(7)

V ≈ 216.75 cubic feet

Therefore, the volume of the sculpture is approximately 216.75 cubic feet.