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

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

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Volume of cylinders

Full solution

Q. A cylinder has a base radius of

2

meters and a height of

11

meters. What is its volume in cubic meters, to the nearest tenths place?

\newline

Answer:

V=\square

meters

^{3}

Identify Formula: Identify the formula for the volume of a cylinder. $\newline$ The volume of a cylinder $V$ is given by the formula $V = \pi r^2 h$ , where $r$ is the radius of the base and $h$ is the height of the cylinder.
Plug in Values: Plug in the given values into the formula. $\newline$ Here, the radius $r$ is $2$ meters and the height $h$ is $11$ meters. So, $V = \pi \times (2 \text{ meters})^2 \times 11 \text{ meters}$ .
Calculate Volume: Calculate the volume using the given values. $\newline$ $V = \pi \times 4 \text{ meters}^2 \times 11 \text{ meters}$ . We use $\pi \approx 3.14$ for the calculation. $\newline$ $V = 3.14 \times 4 \text{ meters}^2 \times 11 \text{ meters} = 3.14 \times 44 \text{ meters}^3$ .
Perform Multiplication: Perform the multiplication to find the volume. $\newline$ $V = 3.14 \times 44 \, \text{meters}^3 = 138.16 \, \text{meters}^3$ .
Round to Nearest Tenth: Round the volume to the nearest tenth. The volume, rounded to the nearest tenth, is $138.2$ cubic meters.

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