Find the volume of a right circular cone that has a height of 5.1cm and a base with a radius of 17.5cm. Round your answer to the nearest tenth of a cubic centimeter. Answer: cm^(3)

Formula Explanation: 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 17.5 cm and the height h is 5.1 cm. So, V = (1/3)π(17.5)^2(5.1).Calculate Radius Square: Now, we calculate the square of the radius, which is (17.5)^2. (17.5)^2 = 306.25.Calculate Volume: Next, we multiply the squared radius by the height and then by (1/3). (306.25)(5.1) = 1561.875. (1/3) of 1561.875 is approximately 520.625.Multiply by Pi: Now, we multiply this result by π to get the volume. 520.625 * π ≈ 1635.8 cm^3 (using π ≈ 3.14 for the calculation).Round to Nearest Tenth: Finally, we round the answer to the nearest tenth of a cubic centimeter. The volume of the cone, rounded to the nearest tenth, is approximately 1635.8 cm^3.

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Find the volume of a right circular cone that has a height of
5.1cm and a base with a radius of
17.5cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
cm^(3)

Find the volume of a right circular cone that has a height of $5.1 \mathrm{~cm}$ and a base with a radius of $17.5 \mathrm{~cm}$ . Round your answer to the nearest tenth of a cubic centimeter.

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

5.1 \mathrm{~cm}

and a base with a radius of

17.5 \mathrm{~cm}

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

Formula Explanation: 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. $\newline$ The radius $r$ is $17.5$ cm and the height $h$ is $5.1$ cm. $\newline$ $V = \frac{1}{3}\pi(17.5)^2(5.1)$
Calculate Radius Square: Now, we calculate the square of the radius, which is $(17.5)^2$ . $\newline$ $(17.5)^2 = 306.25$
Calculate Volume: Next, we multiply the squared radius by the height and then by $\frac{1}{3}$ . $\newline$ $\newline$ $(306.25)(5.1) = 1561.875$ $\newline$ $(\frac{1}{3})$ $\times1561.875$ is approximately $520.625$ .
Multiply by Pi: Now, we multiply this result by $\pi$ to get the volume. $\newline$ $520.625 \times \pi \approx 1635.5916 \, \text{cm}^3$
Round to Nearest Tenth: Finally, we round the answer to the nearest tenth of a cubic centimeter. $\newline$ The volume of the cone, rounded to the nearest tenth, is approximately $1635.6\,\text{cm}^3$ .