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A cylinder has a base radius of 4 meters and a height of 2 meters. What is its volume in cubic meters, to the nearest tenths place?
Answer:
V=◻ meters
^(3)

A cylinder has a base radius of $4$ meters and a height of $2$ 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

4

meters and a height of

2

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

\newline

Answer:

V=\square

meters

^{3}

Identify Formula and Values: Identify the formula for the volume of a cylinder and the given values. $\newline$ 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. $\newline$ Given values: $\newline$ Radius ( $r$ ): $4$ m $\newline$ Height ( $h$ ): $2$ m
Plug Given Values: Plug the given values into the formula to calculate the volume. $\newline$ Using the given values, the volume $V$ is calculated as follows: $\newline$ $V = \pi \times (4 \, \text{m})^2 \times (2 \, \text{m})$
Calculate Radius Square: Calculate the square of the radius. $\newline$ $(4 \, \text{m})^2 = 16 \, \text{m}^2$
Use Approximation of Pi: Use the approximation of $\pi$ (pi) as $3.14$ to calculate the volume. $V = 3.14 \times 16 \, \text{m}^2 \times 2 \, \text{m}$
Perform Multiplication: Perform the multiplication to find the volume. $\newline$ $V = 3.14 \times 32 \, \text{m}^3$ $\newline$ $V = 100.48 \, \text{m}^3$
Round to Nearest Tenth: Round the volume to the nearest tenth. The volume rounded to the nearest tenth is $100.5\,\text{m}^3$ .

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