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Find the volume of a right circular cone that has a height of
7.4cm and a base with a radius of
8.1cm. 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 $7.4 \mathrm{~cm}$ and a base with a radius of $8.1 \mathrm{~cm}$ . Round your answer to the nearest tenth of a cubic centimeter. $\newline$ Answer: $\mathrm{cm}^{3}$

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Circles: word problems

Full solution

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

7.4 \mathrm{~cm}

and a base with a radius of

8.1 \mathrm{~cm}

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

\newline

Answer:

\mathrm{cm}^{3}

Formula for Volume of Cone: 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. We are given the radius $r = 8.1$ cm and the height $h = 7.4$ cm.
Calculate Radius Squared: First, we square the radius: $(8.1 \, \text{cm})^2 = 65.61 \, \text{cm}^2$ .
Multiply Radius Squared by Height: Next, we multiply the squared radius by the height: $65.61 \, \text{cm}^2 \times 7.4 \, \text{cm} = 485.514 \, \text{cm}^3$ .
Calculate Volume of Cone: Now, we multiply this result by $\frac{1}{3}$ to get the volume of the cone: $\left(\frac{1}{3}\right) \times 485.514 \, \text{cm}^3 = 161.838 \, \text{cm}^3$ .
Round to Nearest Tenth: Finally, we round the result to the nearest tenth: $161.838 \, \text{cm}^3 \approx 161.8 \, \text{cm}^3$ .

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