Find the volume of a right circular cone that has a height of 12.5cm and a base with a diameter of 9.1cm. Round your answer to the nearest tenth of a cubic centimeter. Answer: cm^(3)

Find Radius of Base: 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. First, we need to find the radius of the base. The radius is half of the diameter. Calculation: Radius (r) = Diameter / 2 = 9.1 cm / 2 = 4.55 cmSubstitute Values into Formula: Now that we have the radius, we can substitute the values into the volume formula. Calculation: V = (1/3)π(4.55 cm)^2(12.5 cm)Calculate Volume: Next, we square the radius and multiply by the height and π, then divide by 3 to get the volume. Calculation: V = (1/3)π(4.55 cm)^2(12.5 cm) = (1/3)π(20.7025 cm^2)(12.5 cm) = (1/3)π(258.78125 cm^3) = π(86.26041667 cm^3) ≈ 271.026 cm^3Round Final Answer: Finally, we round the answer to the nearest tenth of a cubic centimeter. Calculation: V ≈ 271.0 cm^3

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Find the volume of a right circular cone that has a height of
12.5cm and a base with a diameter of
9.1cm. 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 $12.5 \mathrm{~cm}$ and a base with a diameter of $9.1 \mathrm{~cm}$ . Round your answer to the nearest tenth of a cubic centimeter. $\newline$ Answer: $\mathrm{cm}^{3}$

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Grade 8

Circles: word problems

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

12.5 \mathrm{~cm}

and a base with a diameter of

9.1 \mathrm{~cm}

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

\newline

Answer:

\mathrm{cm}^{3}

Find Radius of Base: 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. First, we need to find the radius of the base. The radius is half of the diameter. $\newline$ Calculation: Radius ( $r$ ) = Diameter / $2$ = $9.1$ cm / $2$ = $4.55$ cm
Substitute Values into Formula: Now that we have the radius, we can substitute the values into the volume formula. $\newline$ Calculation: $V = \frac{1}{3}\pi(4.55 \, \text{cm})^2(12.5 \, \text{cm})$
Calculate Volume: Next, we square the radius and multiply by the height and $\pi$ , then divide by $3$ to get the volume. $\newline$ Calculation: $V = \frac{1}{3}\pi(4.55 \, \text{cm})^2(12.5 \, \text{cm}) = \frac{1}{3}\pi(20.7025 \, \text{cm}^2)(12.5 \, \text{cm}) = \frac{1}{3}\pi(258.78125 \, \text{cm}^3) = \pi(86.26041667 \, \text{cm}^3) \approx 271.026 \, \text{cm}^3$
Round Final Answer: Finally, we round the answer to the nearest tenth of a cubic centimeter. $\newline$ Calculation: $V \approx 271.0 \, \text{cm}^3$