Answer:
The volume of the cone is 462 feet³
Step-by-step explanation:
The formula of the volume of a cone is V = [tex]\frac{1}{3}[/tex] πr²h, where r is the radius of its base and h is its height
∵ The radius of the cone is 7 feet
∴ r = 7 feet
∵ Its height is 9 feet
∴ h = 9 feet
Substitute the values of r and h in the formula of the volume above
∵ V = [tex]\frac{1}{3}[/tex] π(7)²(9)
∵ [tex]\frac{1}{3}[/tex] (9) = 3
∴ V = π(49)(3)
∴ V = 147π feet³
- Simplify the answer
∴ V = 461.8141201 feet³
- Round it to the nearest cubic foot
∴ V = 462 feet³
The volume of the cone is 462 feet³
