Find the volume of a right circular cone that has a height of 10.4m and a base with a radius of 4.9m. Round your answer to the nearest tenth of a cubic meter. Answer: m^(3)

Recall Formula: Recall the formula for the volume of a right circular cone. The formula for the volume (V) 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.Plug in Values: Plug in the given values into the formula. Using the given radius r = 4.9m and height h = 10.4m, we substitute these values into the formula to get V = (1/3)π(4.9)^2(10.4).Calculate Radius Square: Calculate the square of the radius. (4.9)^2 = 24.01Multiply Radius by Height: Multiply the squared radius by the height. 24.01 × 10.4 = 249.704Calculate Volume: Multiply the result by (1/3)π to find the volume. V = (1/3)π × 249.704 = 83.23467πCalculate π Value: Calculate the value of π times 83.23467. Using π ≈ 3.14159, we get 83.23467 × π ≈ 261.504Round to Nearest Tenth: Round the result to the nearest tenth. Rounding 261.504 to the nearest tenth gives us 261.5 cubic meters.

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Find the volume of a right circular cone that has a height of
10.4m and a base with a radius of
4.9m. 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 $10.4 \mathrm{~m}$ and a base with a radius of $4.9 \mathrm{~m}$ . Round your answer to the nearest tenth of a cubic meter. $\newline$ Answer: $\mathrm{m}^{3}$

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Math Problems

Grade 6

Evaluate variable expressions: word problems

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

10.4 \mathrm{~m}

and a base with a radius of

4.9 \mathrm{~m}

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

\newline

Answer:

\mathrm{m}^{3}

Recall Formula: Recall the formula for the volume of a right circular cone. $\newline$ The formula for the volume $V$ 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.
Plug in Values: Plug in the given values into the formula. $\newline$ Using the given radius $r = 4.9\,\text{m}$ and height $h = 10.4\,\text{m}$ , we substitute these values into the formula to get $V = \frac{1}{3}\pi(4.9)^2(10.4)$ .
Calculate Radius Square: Calculate the square of the radius. $\newline$ $(4.9)^2 = 24.01$
Multiply Radius by Height: Multiply the squared radius by the height. $24.01 \times 10.4 = 249.704$
Calculate Volume: Multiply the result by $(\frac{1}{3})\pi$ to find the volume. $\newline$ $V = (\frac{1}{3})\pi \times 249.704 = 83.23467\pi$
Calculate $\pi$ Value: Calculate the value of $\pi$ times $83.23467$ . Using $\pi \approx 3.14159$ , we get $83.23467 \times \pi \approx 261.504$
Round to Nearest Tenth: Round the result to the nearest tenth. Rounding $261.504$ to the nearest tenth gives us $261.5$ cubic meters.