Find the volume of a right circular cone that has a height of 14.1ft and a base with a radius of 15.7ft. Round your answer to the nearest tenth of a cubic foot. Answer: ft^(3)

Calculate Radius Squared: The formula to calculate the volume of a right circular cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone. We are given the radius r = 15.7 ft and the height h = 14.1 ft.Multiply Radius Squared by Height: First, we square the radius: (15.7 ft)^2 = 246.49 ft^2.Apply Cone Volume Formula: Next, we multiply the squared radius by the height: 246.49 ft^2 * 14.1 ft = 3475.409 ft^3.Round to Nearest Tenth: Now, we multiply this result by 1/3 to apply the formula for the volume of a cone: (1/3) * 3475.409 ft^3 = 1158.4697 ft^3.Finally, we round the result to the nearest tenth: 1158.4697 ft^3 ≈ 1158.5 ft^3.

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Find the volume of a right circular cone that has a height of
14.1ft and a base with a radius of
15.7ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
ft^(3)

Find the volume of a right circular cone that has a height of $14.1 \mathrm{~ft}$ and a base with a radius of $15.7 \mathrm{~ft}$ . Round your answer to the nearest tenth of a cubic foot.

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Q. Find the volume of a right circular cone that has a height of

14.1 \mathrm{~ft}

and a base with a radius of

15.7 \mathrm{~ft}

. Round your answer to the nearest tenth of a cubic foot.

Calculate Radius Squared: The formula to calculate the volume of a right circular cone is $V = (\frac{1}{3})\pi r^2 h$ , where $r$ is the radius of the base and $h$ is the height of the cone. We are given the radius $r = 15.7$ ft and the height $h = 14.1$ ft.
Multiply Radius Squared by Height: First, we square the radius: $(15.7 \, \text{ft})^2 = 246.49 \, \text{ft}^2$ .
Apply Cone Volume Formula: Next, we multiply the squared radius by the height: $246.49 \, \text{ft}^2 \times 14.1 \, \text{ft} = 3475.409 \, \text{ft}^3$ .
Round to Nearest Tenth: Now, we multiply this result by $\frac{1}{3}$ to apply the formula for the volume of a cone: $\left(\frac{1}{3}\right) \times 3475.409 \, \text{ft}^3 = 1158.4697 \, \text{ft}^3$ .
Round to Nearest Tenth: Now, we multiply this result by $\frac{1}{3}$ to apply the formula for the volume of a cone: $\left(\frac{1}{3}\right) \times 3475.409 \text{ ft}^3 = 1158.4697 \text{ ft}^3$ .Finally, we round the result to the nearest tenth: $1158.4697 \text{ ft}^3 \approx 1158.5 \text{ ft}^3$ .