Find the volume of a right circular cone that has a height of 11.1 in and a base with a circumference of 17.6 in. Round your answer to the nearest tenth of a cubic inch.
First, we need to find the radius of the base of the cone using the circumference formula:
Circumference = 2πr
17.6 = 2πr
r = 17.6 / (2π)
r ≈ 2.8 in
Next, we can calculate the volume of the cone using the formula:
Volume = (1/3) * π * r^2 * h
Volume ≈ (1/3) * π * (2.8)^2 * 11.1
Volume ≈ (1/3) * π * 7.84 * 11.1
Volume ≈ (1/3) * π * 87.384
Volume ≈ 91.918 cubic inches
Therefore, the volume of the right circular cone is approximately 91.9 cubic inches.