Find the volume of a right circular cone that has a height of 7.6 in and a base with a radius of 11.1 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 of the cone.
Plugging in the values given:
V = (1/3)π(11.1^2)(7.6)
V = (1/3)π(123.21)(7.6)
V = (1/3)π(935.196)
V ≈ (1/3)(3.14159)(935.196)
V ≈ (0.33333)(2940.59088)
V ≈ 980.18 cubic inches
Therefore, the volume of the cone is approximately 980.2 cubic inches.