Find the volume of a right circular cone that has a height of 11.8 ft and a base with a radius of 7.3 ft. Round your answer to the nearest tenth of a cubic foot.
The formula for the volume of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height.
Plugging the given values into the formula, we have V = (1/3)π(7.3²)(11.8).
Calculating the expression inside the parentheses, we have V = (1/3)π(53.29)(11.8).
Multiplying the squared radius by the height, we have V = (1/3)π(627.302).
Calculating the expression inside the parentheses, we have V = (1/3)(1968.548).
Multiplying the result by 1/3, we have V ≈ 656.182.
Rounding to the nearest tenth of a cubic foot, the volume of the cone is approximately 656.2 ft³. Answer: \boxed{656.2}.