What is the volume, in cubic ft, of a cylinder with a height of 11ft and a base radius of 2ft, to the nearest tenths place? Answer: V=◻ft^(3)

Formula for Volume: To find the volume of a cylinder, we use the formula V = πr^2h, where V is the volume, r is the radius of the base, and h is the height of the cylinder. We are given the radius r = 2 ft and the height h = 11 ft.Calculate Base Area: First, we calculate the area of the base (circle) using the formula A = πr^2. Substituting the given radius r = 2 ft, we get A = π(2)^2 = 4π square feet.Calculate Volume: Next, we calculate the volume by multiplying the area of the base by the height of the cylinder. So, V = 4π * 11 ft = 44π cubic feet.Round to Nearest Tenths: Finally, we need to round the result to the nearest tenths place. The value of π is approximately 3.1416. Therefore, V ≈ 44 * 3.1416 = 138.2304 cubic feet. Rounded to the nearest tenths place, the volume is approximately 138.2 cubic feet.

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What is the volume, in cubic
ft, of a cylinder with a height of
11ft and a base radius of
2ft, to the nearest tenths place?
Answer:
V=◻ft^(3)

What is the volume, in cubic $\mathrm{ft}$ , of a cylinder with a height of $11 \mathrm{ft}$ and a base radius of $2 \mathrm{ft}$ , to the nearest tenths place? $\newline$ Answer: $V=\square \mathrm{ft}^{3}$

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Grade 7

Convert between customary and metric systems

Full solution

Q. What is the volume, in cubic

\mathrm{ft}

, of a cylinder with a height of

11 \mathrm{ft}

and a base radius of

2 \mathrm{ft}

, to the nearest tenths place?

\newline

Answer:

V=\square \mathrm{ft}^{3}

Formula for Volume: To find the volume of a cylinder, we use the formula $V = \pi r^2 h$ , where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cylinder. We are given the radius $r = 2$ ft and the height $h = 11$ ft.
Calculate Base Area: First, we calculate the area of the base (circle) using the formula $A = \pi r^2$ . Substituting the given radius $r = 2$ ft, we get $A = \pi(2)^2 = 4\pi$ square feet.
Calculate Volume: Next, we calculate the volume by multiplying the area of the base by the height of the cylinder. So, $V = 4\pi \times 11 \, \text{ft} = 44\pi$ cubic feet.
Round to Nearest Tenths: Finally, we need to round the result to the nearest tenths place. The value of $\pi$ is approximately $3.1416$ . Therefore, $V \approx 44 \times 3.1416 = 138.2304$ cubic feet. Rounded to the nearest tenths place, the volume is approximately $138.2$ cubic feet.