Answer:
The volume of the sculpture is 67.824 ft^3
Step-by-step explanation:
In this question, we are to calculate the volume of a conical sculpture, given the height of the sculpture and the circumference of the base.
Mathematically, the volume V of the sculpture is given by;
V =1/3 * π * r^2 * h
Now, we have the height directly from the question but we do not have the value of the radius.
We can obtain the value of the radius from the circumference of the base
Mathematically, the circumference C of the base of the cone is given by;
C = 2 * π * r
Inputing the value of the circumference, we have;
22.608 = 2 * 3.14 * r
r = 22.608/(2 * 3.14)
r = 22.608/6.28
r = 3.6 feet
Now plugging these values into the volume equation, we have
V = 1/3 * 3.14 * 3.6^2 * 5
V = 67.824 ft^3
