Find the volume of a right circular cone that has a height of 2.5 ft and a base with a diameter of 5.2 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 that the diameter of the base is 5.2 ft, the radius (r) would be half of that, which is 2.6 ft. The height (h) is 2.5 ft.
Plugging the values into the formula:
V = (1/3)π(2.6)^2(2.5)
V = (1/3)π(6.76)(2.5)
V = (1/3)π(16.9)
V ≈ 17.8 cubic feet
Therefore, the volume of the cone is approximately 17.8 cubic feet.