What is the volume of a cylinder with a height of 8.2cm and a base with a diameter of 12.4cm, to the nearest tenth of a cubic centimeter? Answer: cm^(3)

Identify formula for volume: Identify the formula for the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.Calculate base radius: Calculate the radius of the base of the cylinder. The diameter of the base is given as 12.4 cm. The radius is half of the diameter, so r = diameter / 2 = 12.4 cm / 2 = 6.2 cm.Substitute radius and height: Substitute the radius and height into the volume formula. Using the radius from Step 2 and the given height of 8.2 cm, we substitute these values into the volume formula: V = π(6.2 cm)^2(8.2 cm).Calculate volume: Calculate the volume of the cylinder. V = π(6.2 cm)^2(8.2 cm) = π(38.44 cm^2)(8.2 cm) ≈ 3.1416 * 38.44 cm^2 * 8.2 cm ≈ 991.10112 cm^3.Round to nearest tenth: Round the volume to the nearest tenth of a cubic centimeter. The volume of the cylinder to the nearest tenth is approximately 991.1 cm^3.

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What is the volume of a cylinder with a height of
8.2cm and a base with a diameter of
12.4cm, to the nearest tenth of a cubic centimeter?
Answer:
cm^(3)

What is the volume of a cylinder with a height of $8.2 \mathrm{~cm}$ and a base with a diameter of $12.4 \mathrm{~cm}$ , to the nearest tenth of a cubic centimeter? $\newline$ Answer: $\mathrm{cm}^{3}$

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Full solution

Q. What is the volume of a cylinder with a height of

8.2 \mathrm{~cm}

and a base with a diameter of

12.4 \mathrm{~cm}

, to the nearest tenth of a cubic centimeter?

\newline

Answer:

\mathrm{cm}^{3}

Identify formula for volume: Identify the formula for the volume of a cylinder. $\newline$ The formula for the volume of a cylinder is $V = \pi r^2 h$ , where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cylinder.
Calculate base radius: Calculate the radius of the base of the cylinder. $\newline$ The diameter of the base is given as $12.4\,\text{cm}$ . The radius is half of the diameter, so $r = \text{diameter} / 2 = 12.4\,\text{cm} / 2 = 6.2\,\text{cm}$ .
Substitute radius and height: Substitute the radius and height into the volume formula. $\newline$ Using the radius from Step $2$ and the given height of $8.2\,\text{cm}$ , we substitute these values into the volume formula: $V = \pi(6.2\,\text{cm})^2(8.2\,\text{cm})$ .
Calculate volume: Calculate the volume of the cylinder. V = \pi(\(6. $2$ \, \text{cm})^ $2$ ( $8$ . $2$ \, \text{cm}) = \pi( $38$ . $44$ \, \text{cm}^ $2$ )( $8$ . $2$ \, \text{cm}) \approx $3$ . $1416$ \times $38$ . $44$ \, \text{cm}^ $2$ \times $8$ . $2$ \, \text{cm} \approx $991$ . $10112$ \, \text{cm}^ $3$ \.
Round to nearest tenth: Round the volume to the nearest tenth of a cubic centimeter. $\newline$ The volume of the cylinder to the nearest tenth is approximately $991.1\,\text{cm}^3$ .