Find the volume of a right circular cone that has a height of 11.4 in and a base with a radius of 5.1 in. Round your answer to the nearest tenth of a cubic inch.
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 radius (r) is 5.1 in and the height (h) is 11.4 in:
V = (1/3)π(5.1)^2(11.4)
V = (1/3)π(26.01)(11.4)
V = (1/3)π(296.214)
V = 98.738 cubic inches
Therefore, the volume of the cone is approximately 98.7 cubic inches.