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A cylinder has a height of $17$ yards and a radius of $5$ yards. What is its volume? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\newline$ $\_\_\_\_\_$ cubic yards

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Volume of cylinders

Full solution

Q. A cylinder has a height of

17

yards and a radius of

5

yards. What is its volume? Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

\_\_\_\_\_

cubic yards

Find Volume Formula: First, we need to find the formula for the volume of a cylinder. The formula is $\text{Volume} = \pi \cdot r^2 \cdot h$ , where $r$ is the radius and $h$ is the height.
Plug in Values: Plug in the values: Radius $r$ = $5$ yards, Height $h$ = $17$ yards. So, Volume = $\pi \times 5^2 \times 17$ .
Calculate Radius Square: Calculate the square of the radius: $5^2 = 25$ .
Multiply Radius by Height: Now, multiply the squared radius by the height: $25 \times 17 = 425$ .
Final Volume Calculation: Finally, multiply by $\pi$ (approximated as $3.14$ ): $\text{Volume} = 3.14 \times 425 = 1334.5$ cubic yards.

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