Find the volume of a right circular cone that has a height of 9.6m and a base with a radius of 2.1m. Round your answer to the nearest tenth of a cubic meter. Answer: m^(3)

Formula for Volume: 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.Plug in Values: First, we need to plug in the values for r and h into the formula. The radius r is 2.1 meters and the height h is 9.6 meters. So, V = (1/3)π(2.1)^2(9.6).Calculate Radius Square: Next, we calculate the square of the radius, which is (2.1)^2. (2.1)^2 = 4.41.Multiply Radius and Height: Now, we multiply the squared radius by the height and then by (1/3)π. V = (1/3)π(4.41)(9.6).Perform Multiplication: Perform the multiplication to find the volume. V = (1/3)π(4.41)(9.6) = π(4.41)(3.2) = 14.112π.Final Volume Calculation: Finally, we need to multiply by π and round the result to the nearest tenth. V ≈ 14.112 × 3.14159 ≈ 44.3 m^3 (rounded to the nearest tenth).

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Find the volume of a right circular cone that has a height of
9.6m and a base with a radius of
2.1m. 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 $9.6 \mathrm{~m}$ and a base with a radius of $2.1 \mathrm{~m}$ . Round your answer to the nearest tenth of a cubic meter. $\newline$ Answer: $\mathrm{m}^{3}$

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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

9.6 \mathrm{~m}

and a base with a radius of

2.1 \mathrm{~m}

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

\newline

Answer:

\mathrm{m}^{3}

Formula for Volume: 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.
Plug in Values: First, we need to plug in the values for $r$ and $h$ into the formula. The radius $r$ is $2.1$ meters and the height $h$ is $9.6$ meters. $\newline$ So, $V = (\frac{1}{3})\pi(2.1)^2(9.6)$ .
Calculate Radius Square: Next, we calculate the square of the radius, which is $(2.1)^2$ . $\newline$ $(2.1)^2 = 4.41$ .
Multiply Radius and Height: Now, we multiply the squared radius by the height and then by $(1/3)\pi$ . $\newline$ $V = (1/3)\pi(4.41)(9.6)$ .
Perform Multiplication: Perform the multiplication to find the volume. $\newline$ $V = \frac{1}{3}\pi(4.41)(9.6) = \pi(4.41)(3.2) = 14.112\pi$ .
Final Volume Calculation: Finally, we need to multiply by $\pi$ and round the result to the nearest tenth. $\newline$ $V \approx 14.112 \times 3.14159 \approx 44.3 \, \text{m}^3$ (rounded to the nearest tenth).