Find the volume of a right circular cone that has a height of 14.2m and a base with a radius of 16m. Round your answer to the nearest tenth of a cubic meter. Answer: m^(3)

Question

Find the volume of a right circular cone that has a height of  14.2m and a base with a radius of  16m. Round your answer to the nearest tenth of a cubic meter. Answer:  m^(3)

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Plug values into formula: 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 that the radius r is 16 meters and the height h is 14.2 meters. Let's plug these values into the formula.Calculate base area: First, calculate the area of the base (which is a circle) using the formula A = πr^2. The radius r is 16 meters, so A = π(16)^2.Compute base area: Now, compute the area of the base: A = π(16)^2 = π(256). We will use the value of π as approximately 3.14159 for this calculation.Calculate cone volume: Next, calculate the volume of the cone using the volume formula V = (1/3)πr^2h. We already have the area of the base A = π(256), so we can substitute this into the formula and multiply by the height h, which is 14.2 meters: V = (1/3)π(256)(14.2).Perform multiplication: Perform the multiplication to find the volume: V = (1/3) * 3.14159 * 256 * 14.2. First, calculate 256 * 14.2 = 3635.2.Multiply by pi: Now, multiply this result by π: 3635.2 * 3.14159 ≈ 11426.5.Divide by 3: Finally, divide by 3 to get the volume of the cone: V ≈ 11426.5 / 3 ≈ 3808.8333 cubic meters.Round to nearest tenth: Round the volume to the nearest tenth of a cubic meter: V ≈ 3808.8 m^3.

Find the volume of a right circular cone that has a height of $14.2 \mathrm{~m}$ and a base with a radius of $16 \mathrm{~m}$ . Round your answer to the nearest tenth of a cubic meter. $\newline$ Answer: $\mathrm{m}^{3}$

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Find the volume of a right circular cone that has a height of 14.2 m 14.2 \mathrm{~m} 14.2 m and a base with a radius of 16 m 16 \mathrm{~m} 16 m. Round your answer to the nearest tenth of a cubic meter.\newlineAnswer: m3 \mathrm{m}^{3} m3

Find the volume of a right circular cone that has a height of $14.2 \mathrm{~m}$ and a base with a radius of $16 \mathrm{~m}$ . Round your answer to the nearest tenth of a cubic meter. $\newline$ Answer: $\mathrm{m}^{3}$