Respuesta :
Answer:
The correct answer is 68.33 cubic feet.
Step-by-step 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 = [tex]\frac{22}{7}[/tex].
⇒ r = 3.297
Volume of the sculpture = [tex]\frac{1}{3}[/tex] × π × h × [tex]r^{2}[/tex] = [tex]\frac{1}{3}[/tex] × π × 6 × [tex]3.297^{2}[/tex] = 68.327028 ≈ 68.33 cubic feet.
