Question

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.

Answer 1

To find the cone's volume, calculate the radius using the circumference, then apply the volume formula V =
`(1)/(3)\pi r^2 h`. The resulting volume is approximately 230.2 cubic inches.

Step-by-step explanation:

To find the volume of a right circular cone, we need to apply the formula for the volume of a cone, which is V =
`(1)/(3)\pi r^2 h` ly given the height and the circumference of the base, which means we first need to calculate the radius (r) from the circumference using the formula C = 2\pi r. The given height (h) is 11.1 in, and the circumference (C) is 17.6 in.

First, solve for the radius:
r =
`(C)/(2\pi) = \frac{17.6 \text{in}}{2\pi} \approx 2.8 \text{in}` =
`(1)/(3)\pi (2.8 \text{in})^2 * 11.1 \text{in} \approx 230.16 \text{in}^3` Rounding the answer to the nearest tenth gives us a final volume of approximately 230.2 cubic inches.