Find the volume of a right circular cone that has a height of 6 ft and a base with a radius of 9.7 ft. Round your answer to the nearest tenth of a cubic foot.
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Given:
r = 9.7 ft
h = 6 ft
Plugging these values into the formula:
V = (1/3)π(9.7)^2(6)
V = (1/3)(3.14159)(94.09)(6)
V = (0.33333)(589.88)
V = 196.62 ft^3
Therefore, the volume of the cone is approximately 196.6 cubic feet.