Find the volume of a right circular cone that has a height of 13.9cm and a base with a radius of 10.5cm. Round your answer to the nearest tenth of a cubic centimeter. Answer: cm^(3)

Volume Formula: To find the volume of a cone, we use the formula: Volume = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.Calculate Radius Squared: First, we need to square the radius of the base. The radius is 10.5 cm, so we calculate 10.5^2. 10.5^2 = 110.25 cm^2Calculate Volume: Next, we multiply the squared radius by the height of the cone. The height is 13.9 cm, so we calculate 110.25 cm^2 * 13.9 cm. 110.25 cm^2 * 13.9 cm = 1532.475 cm^3Apply Formula: Now, we multiply the result by 1/3 to apply the formula for the volume of a cone. (1/3) * 1532.475 cm^3 = 510.825 cm^3Round Result: Finally, we need to round the result to the nearest tenth of a cubic centimeter. 510.825 cm^3 rounded to the nearest tenth is 510.8 cm^3.

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Find the volume of a right circular cone that has a height of
13.9cm and a base with a radius of
10.5cm. 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 $13.9 \mathrm{~cm}$ and a base with a radius of $10.5 \mathrm{~cm}$ . 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

13.9 \mathrm{~cm}

and a base with a radius of

10.5 \mathrm{~cm}

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

\newline

Answer:

\mathrm{cm}^{3}

Volume Formula: To find the volume of a cone, we use the formula: $\text{Volume} = \frac{1}{3}\pi r^2 h$ , where $r$ is the radius of the base and $h$ is the height of the cone.
Calculate Radius Squared: First, we need to square the radius of the base. The radius is $10.5\,\text{cm}$ , so we calculate $10.5^2$ . $\newline$ $10.5^2 = 110.25\,\text{cm}^2$
Calculate Volume: Next, we multiply the squared radius by the height of the cone. The height is $13.9\,\text{cm}$ , so we calculate $110.25\,\text{cm}^2 \times 13.9\,\text{cm}$ . $\newline$ $110.25\,\text{cm}^2 \times 13.9\,\text{cm} = 1532.475\,\text{cm}^3$
Apply Formula: Now, we multiply the result by $\frac{1}{3}$ to apply the formula for the volume of a cone. $\newline$ $\left(\frac{1}{3}\right) \times 1532.475 \, \text{cm}^3 = 510.825 \, \text{cm}^3$
Round Result: Finally, we need to round the result to the nearest tenth of a cubic centimeter. $510.825 \, \text{cm}^3$ rounded to the nearest tenth is $510.8 \, \text{cm}^3$ .