A cylinder has a base diameter of 12m and a height of 18m. What is its volume in cubic m, to the nearest tenths place? Answer: V= m^(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 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 12 meters, so the radius is half of that, which is 12m / 2 = 6m.Substitute radius and height: Substitute the radius and height into the volume formula. Using the radius of 6 meters and the height of 18 meters, the volume V is V = π * (6m)^2 * 18m.Calculate volume: Calculate the volume. V = π * 36m^2 * 18m = π * 648m^3.Round volume: Round the volume to the nearest tenth. Since π is approximately 3.14159, the volume V is approximately 3.14159 * 648m^3 ≈ 2035.7m^3 when rounded to the nearest tenth.

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A cylinder has a base diameter of
12m and a height of
18m. What is its volume in cubic
m, to the nearest tenths place?
Answer:

V=
m^(3)

A cylinder has a base diameter of $12 \mathrm{~m}$ and a height of $18 \mathrm{~m}$ . What is its volume in cubic $\mathrm{m}$ , to the nearest tenths place? $\newline$ Answer: $\newline$ $V=$ $\mathrm{m}^{3}$

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Math Problems

Grade 6

Volume of cubes and rectangular prisms: word problems

Full solution

Q. A cylinder has a base diameter of

12 \mathrm{~m}

and a height of

18 \mathrm{~m}

. What is its volume in cubic

\mathrm{m}

, to the nearest tenths place?

\newline

Answer:

\newline

V=

\mathrm{m}^{3}

Identify formula for volume: Identify the formula for the volume of a cylinder. 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 base radius: Calculate the radius of the base of the cylinder. $\newline$ The diameter of the base is $12$ meters, so the radius is half of that, which is $12\,\text{m} / 2 = 6\,\text{m}$ .
Substitute radius and height: Substitute the radius and height into the volume formula. $\newline$ Using the radius of $6\,\text{m}$ and the height of $18\,\text{m}$ , the volume $V$ is $V = \pi \times (6\,\text{m})^2 \times 18\,\text{m}.$
Calculate volume: Calculate the volume. $V = \pi \times 36m^2 \times 18m = \pi \times 648m^3$ .
Round volume: Round the volume to the nearest tenth. $\newline$ Since $\pi$ is approximately $3.14159$ , the volume $V$ is approximately $3.14159 \times 648\,\text{m}^3 \approx 2035.7\,\text{m}^3$ when rounded to the nearest tenth.