To find the height of the cylinder, we'll use the formula for the volume of a cylinder:
V = πr^2h
Where:
- V is the volume of the cylinder,
- r is the radius of the cylinder, and
- h is the height of the cylinder.
Given that the radius r is 14 feet and the volume V is 8,616.16 cubic feet, we can plug these values into the formula and solve for h:
8616.16 = π × 14^2 × h
First, calculate the area of the base of the cylinder:
π × 14^2 = π × 196
= 196π
Now, divide both sides of the equation by 196π to solve for h:
h = 8616.16 / 196π
h ≈ 8616.16 / (196 × 3.14)
h ≈ 8616.16 / 615.44
h ≈ 14 feet
Therefore, the height of the cylinder is approximately 14 feet.
