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A cylinder has a height of $17\,\text{millimeters}$ and a radius of $15\,\text{millimeters}$ . What is its volume? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\newline$ $\_\_\_\_\_$ cubic millimeters

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Volume of cylinders

Full solution

Q. A cylinder has a height of

17\,\text{millimeters}

and a radius of

15\,\text{millimeters}

. What is its volume? Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

\_\_\_\_\_

cubic millimeters

Identify formula and values: First, identify the formula for the volume of a cylinder and plug in the given values. The formula is $\text{Volume} = \pi \cdot r^2 \cdot h$ . Here, $r = 15$ mm and $h = 17$ mm.
Calculate radius square: Next, calculate the square of the radius. $15^2 = 225$ .
Find volume through multiplication: Now, perform the multiplication to find the volume. $225 \times 17 = 3825$ .
Multiply by pi for final volume: Finally, multiply by $\pi$ (approximated as $3.14$ ) to get the volume. $3.14 \times 3825 = 12010.5$ .

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