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A cylinder has a height of $11$ centimeters and a radius of $17$ centimeters. What is its volume? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\newline$ $\_\_\_\_\_$ cubic centimeters

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Volume of cylinders

Full solution

Q. A cylinder has a height of

11

centimeters and a radius of

17

centimeters. What is its volume? Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

\_\_\_\_\_

cubic centimeters

Identify formula and values: First, identify the formula for the volume of a cylinder and plug in the given values. The formula is $\text{Volume} = \pi \times r^2 \times h$ . Here, $r = 17$ cm and $h = 11$ cm.
Calculate squared radius: Next, calculate the square of the radius. $17^2 = 289$ .
Multiply squared radius by height: Now, multiply the squared radius by the height and $\pi$ . $289 \times 11 = 3179$ .
Find volume: Finally, multiply by $\pi$ to find the volume. $3.14 \times 3179 = 9981.66$ .

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