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A cylinder has a height of $6$ meters and a radius of $2$ meters. What is its volume? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\newline$ $\_\_\_\_$ cubic meters

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Volume of cylinders

Full solution

Q. A cylinder has a height of

6

meters and a radius of

2

meters. What is its volume? Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

\_\_\_\_

cubic meters

Write Known Values: First, let's write down what we know: the radius $r$ is $2$ meters, and the height $h$ is $6$ meters. We use the formula for the volume of a cylinder, which is $V = \pi r^2 h$ . Plugging in the values, we get $V = \pi \times 2^2 \times 6$ .
Calculate Radius Square: Next, calculate the square of the radius: $2^2 = 4$ . Now, substitute this back into the volume formula: $V = \pi \times 4 \times 6$ .
Substitute Radius Square: Multiply $4$ by $6$ to simplify the equation further: $4 \times 6 = 24$ . So, the volume equation now looks like $V = \pi \times 24$ .
Calculate Volume: Use $3.14$ for $\pi$ and calculate the volume: $V = 3.14 \times 24 = 75.36$ cubic meters. Round this to the nearest hundredth, which gives us $75.36$ cubic meters.

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