Question
Find the volume of a right circular cone that has a height of 19 ft and a base with a diameter of 18.7 ft. Round your answer to the nearest tenth of a cubic foot.
Answer
Attempt 1 out of 2
ft, cubed ft
3
Answer
Attempt 1 out of 2
ft, cubed ft
3
Answers
Answered by
GPT 3.5
To find the volume of a right circular cone, we use the formula V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height.
First, we need to find the radius of the base. The diameter is given as 18.7 ft, so the radius is half of that, or 18.7/2 = 9.35 ft.
Plugging in the values into the formula, we get V = 1/3 * π * (9.35)^2 * 19.
Calculating this, we get V ≈ 1/3 * 3.1416 * (9.35)^2 * 19 ≈ 614.7 cubic ft.
Rounding to the nearest tenth of a cubic foot, the volume is approximately 614.7 cubic ft.
First, we need to find the radius of the base. The diameter is given as 18.7 ft, so the radius is half of that, or 18.7/2 = 9.35 ft.
Plugging in the values into the formula, we get V = 1/3 * π * (9.35)^2 * 19.
Calculating this, we get V ≈ 1/3 * 3.1416 * (9.35)^2 * 19 ≈ 614.7 cubic ft.
Rounding to the nearest tenth of a cubic foot, the volume is approximately 614.7 cubic ft.