Find the volume of a right circular cone that has a height of 14.3m and a base with a radius of 5.3m. Round your answer to the nearest tenth of a cubic meter. Answer: m^(3)

Volume Formula for Cone: To find the volume of a cone, we use the formula V = (1/3)πr^2h, where V is the volume, r is the radius of the base, and h is the height of the cone. We are given the radius r = 5.3m and the height h = 14.3m.Calculate Radius Squared: First, we square the radius: (5.3m)^2 = 28.09m^2.Multiply Radius Squared by Height: Next, we multiply the squared radius by the height: 28.09m^2 * 14.3m = 401.487m^3.Apply Formula for Cone Volume: Now, we multiply this result by 1/3 to apply the formula for the volume of a cone: (1/3) * 401.487m^3 = 133.829m^3.Round Final Result: Finally, we round the result to the nearest tenth: 133.829m^3 rounds to 133.8m^3.

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Find the volume of a right circular cone that has a height of
14.3m and a base with a radius of
5.3m. Round your answer to the nearest tenth of a cubic meter.
Answer:
m^(3)

Find the volume of a right circular cone that has a height of $14.3 \mathrm{~m}$ and a base with a radius of $5.3 \mathrm{~m}$ . Round your answer to the nearest tenth of a cubic meter. $\newline$ Answer: $\mathrm{m}^{3}$

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Grade 7

Convert between customary and metric systems

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

14.3 \mathrm{~m}

and a base with a radius of

5.3 \mathrm{~m}

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

\newline

Answer:

\mathrm{m}^{3}

Volume Formula for Cone: To find the volume of a cone, we use the formula $V = \frac{1}{3}\pi r^2 h$ , where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cone. We are given the radius $r = 5.3\,\text{m}$ and the height $h = 14.3\,\text{m}$ .
Calculate Radius Squared: First, we square the radius: $(5.3\,\text{m})^2 = 28.09\,\text{m}^2$ .
Multiply Radius Squared by Height: Next, we multiply the squared radius by the height: $28.09\,\text{m}^2 \times 14.3\,\text{m} = 401.487\,\text{m}^3$ .
Apply Formula for Cone Volume: Now, we multiply this result by $\frac{1}{3}$ to apply the formula for the volume of a cone: $\left(\frac{1}{3}\right) \times 401.487\,\text{m}^3 = 133.829\,\text{m}^3$ .
Round Final Result: Finally, we round the result to the nearest tenth: $133.829\,\text{m}^3$ rounds to $133.8\,\text{m}^3$ .