Answer:
h = 54 feet
Step-by-step explanation:
The equation for the volume of a cone is V = [tex]\frac{1}{3}[/tex] × π × r² × h.
You have the volume, which is 8,138.88, and the radius of the base, which is 12.
V = 8,138.88
h = 12
π = 3.14
When you plug everything you know into the equation, you get:
V = [tex]\frac{1}{3}[/tex] × 3.14 × r² × h.
8,138.88 = [tex]\frac{1}{3}[/tex] × 3.14 × (12)² × h
After you multiply everything on the right side, you come out with:
8,138.88 = 150.72 × h
To find h, you can divide each side by 150.72.
8,138.88 ÷ 150.72 = 54 feet!
