What is the volume of a cylinder with a height of 11.7cm and a base with a diameter of 12cm, to the nearest tenth of a cubic centimeter? Answer: cm^(3)

Identify Formula: Identify the formula for the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder.Calculate Radius: Calculate the radius of the base of the cylinder. The diameter of the base is 12 cm, so the radius is half of the diameter. Radius = Diameter / 2 = 12 cm / 2 = 6 cm.Substitute Values: Substitute the radius and height into the volume formula. Using the radius of 6 cm and the height of 11.7 cm, the volume formula becomes V = π * (6 cm)^2 * 11.7 cm.Calculate Volume: Calculate the volume of the cylinder. V = π * 36 cm^2 * 11.7 cm = π * 421.2 cm^3.Use Pi Value: Use the value of π to find the numerical value of the volume. Assuming π is approximately 3.14159, the volume is V ≈ 3.14159 * 421.2 cm^3 ≈ 1323.7168 cm^3.Round Volume: Round the volume to the nearest tenth of a cubic centimeter. The volume rounded to the nearest tenth is approximately 1323.7 cm^3.

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What is the volume of a cylinder with a height of
11.7cm and a base with a diameter of
12cm, to the nearest tenth of a cubic centimeter?
Answer:
cm^(3)

What is the volume of a cylinder with a height of $11.7 \mathrm{~cm}$ and a base with a diameter of $12 \mathrm{~cm}$ , to the nearest tenth of a cubic centimeter? $\newline$ Answer: $\mathrm{cm}^{3}$

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Math Problems

Grade 6

Volume of cubes and rectangular prisms: word problems

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

11.7 \mathrm{~cm}

and a base with a diameter of

12 \mathrm{~cm}

, to the nearest tenth of a cubic centimeter?

\newline

Answer:

\mathrm{cm}^{3}

Identify Formula: 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 $r$ is the radius of the base and $h$ is the height of the cylinder.
Calculate Radius: Calculate the radius of the base of the cylinder. $\newline$ The diameter of the base is $12\,\text{cm}$ , so the radius is half of the diameter. Radius $= \frac{\text{Diameter}}{2} = \frac{12\,\text{cm}}{2} = 6\,\text{cm}$ .
Substitute Values: Substitute the radius and height into the volume formula. $\newline$ Using the radius of $6\,\text{cm}$ and the height of $11.7\,\text{cm}$ , the volume formula becomes $V = \pi \times (6\,\text{cm})^2 \times 11.7\,\text{cm}.$
Calculate Volume: Calculate the volume of the cylinder. $\newline$ $V = \pi \times 36 \, \text{cm}^2 \times 11.7 \, \text{cm} = \pi \times 421.2 \, \text{cm}^3$ .
Use Pi Value: Use the value of $\pi$ to find the numerical value of the volume. $\newline$ Assuming $\pi$ is approximately $3.14159$ , the volume is $V \approx 3.14159 \times 421.2 \, \text{cm}^3 \approx 1323.7168 \, \text{cm}^3$ .
Round Volume: Round the volume to the nearest tenth of a cubic centimeter. The volume rounded to the nearest tenth is approximately $1323.7\,\text{cm}^3$ .