Find the volume of a right circular cone that has a height of 16.2m and a base with a radius of 15.6m. Round your answer to the nearest tenth of a cubic meter. Answer: m^(3)

Volume Formula: 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.Calculate Radius Squared: First, we need to square the radius of the base. The radius is 15.6 meters, so we calculate 15.6^2. 15.6^2 = 243.36Multiply Radius Squared by Height: Next, we multiply the squared radius by the height of the cone. The height is 16.2 meters, so we calculate 243.36 * 16.2. 243.36 * 16.2 = 3942.432Apply 1/3 Formula: Now, we multiply this result by 1/3 to apply the formula for the volume of a cone. (1/3) * 3942.432 = 1314.144Multiply by Pi: Finally, we multiply by π to complete the calculation. 1314.144 * π ≈ 4131.1 (rounded to the nearest tenth)

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Find the volume of a right circular cone that has a height of
16.2m and a base with a radius of
15.6m. 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 $16.2 \mathrm{~m}$ and a base with a radius of $15.6 \mathrm{~m}$ . Round your answer to the nearest tenth of a cubic meter. $\newline$ Answer: $\mathrm{m}^{3}$

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Math Problems

Grade 7

Convert between customary and metric systems

Full solution

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

16.2 \mathrm{~m}

and a base with a radius of

15.6 \mathrm{~m}

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

\newline

Answer:

\mathrm{m}^{3}

Volume Formula: 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.
Calculate Radius Squared: First, we need to square the radius of the base. The radius is $15.6$ meters, so we calculate $15.6^2$ . $\newline$ $15.6^2 = 243.36$
Multiply Radius Squared by Height: Next, we multiply the squared radius by the height of the cone. The height is $16.2$ meters, so we calculate $243.36 \times 16.2$ . $\newline$ $243.36 \times 16.2 = 3942.432$
Apply $1$ / $3$ Formula: Now, we multiply this result by $\frac{1}{3}$ to apply the formula for the volume of a cone. $\newline$ $(\frac{1}{3}) \times 3942.432 = 1314.144$
Multiply by Pi: Finally, we multiply by $\pi$ to complete the calculation. $1314.144 \times \pi \approx 4131.1$ (rounded to the nearest tenth)