Find the volume of a right circular cone that has a height of 5.2cm and a base with a radius of 19cm. Round your answer to the nearest tenth of a cubic centimeter. Answer: cm^(3)

Identify formula: Identify 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 values: Plug the given values into the formula. Using the given radius (r = 19 cm) and height (h = 5.2 cm), we substitute these values into the formula to get V = (1/3)π(19 cm)^2(5.2 cm).Calculate base area: Calculate the base area and multiply by the height. First, we calculate the area of the base, which is πr^2 = π(19 cm)^2 = π(361 cm^2). Then we multiply this by the height and divide by 3 to get the volume: V = (1/3)π(361 cm^2)(5.2 cm).Perform multiplication: Perform the multiplication and division to find the volume. Now we calculate V = (1/3)π(361 cm^2)(5.2 cm) = (1/3)(3.14159)(361 cm^2)(5.2 cm) ≈ (1/3)(3.14159)(1877.2 cm^3) ≈ 1963.4952 cm^3.Round result: Round the result to the nearest tenth of a cubic centimeter. Rounding 1963.4952 cm^3 to the nearest tenth gives us approximately 1963.5 cm^3.

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Find the volume of a right circular cone that has a height of
5.2cm and a base with a radius of
19cm. 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 $5.2 \mathrm{~cm}$ and a base with a radius of $19 \mathrm{~cm}$ . Round your answer to the nearest tenth of a cubic centimeter. $\newline$ Answer: $\mathrm{cm}^{3}$

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Grade 7

Convert between customary and metric systems

Full solution

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

5.2 \mathrm{~cm}

and a base with a radius of

19 \mathrm{~cm}

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

\newline

Answer:

\mathrm{cm}^{3}

Identify formula: Identify the formula for the volume of a right circular cone. 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 values: Plug the given values into the formula. $\newline$ Using the given radius $r = 19 \text{ cm}$ and height $h = 5.2 \text{ cm}$ , we substitute these values into the formula to get $V = \frac{1}{3}\pi(19 \text{ cm})^2(5.2 \text{ cm})$ .
Calculate base area: Calculate the base area and multiply by the height. $\newline$ First, we calculate the area of the base, which is $\pi r^2 = \pi(19 \text{ cm})^2 = \pi(361 \text{ cm}^2)$ . Then we multiply this by the height and divide by $3$ to get the volume: $V = \frac{1}{3}\pi(361 \text{ cm}^2)(5.2 \text{ cm})$ .
Perform multiplication: Perform the multiplication and division to find the volume. $\newline$ Now we calculate $V = (\frac{1}{3})\pi(361 \text{ cm}^2)(5.2 \text{ cm}) = (\frac{1}{3})(3.14159)(361 \text{ cm}^2)(5.2 \text{ cm}) \approx (\frac{1}{3})(3.14159)(1877.2 \text{ cm}^3) \approx 1963.4952 \text{ cm}^3$ .
Round result: Round the result to the nearest tenth of a cubic centimeter. $\newline$ Rounding $1963.4952\,\text{cm}^3$ to the nearest tenth gives us approximately $1963.5\,\text{cm}^3$ .