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A cylinder has a height of $10$ inches and a radius of $5$ inches. What is its volume? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\newline$ $\_\_\_\_\_$ cubic inches

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Volume of cylinders

Full solution

Q. A cylinder has a height of

10

inches and a radius of

5

inches. What is its volume? Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

\_\_\_\_\_

cubic inches

Identify Formula and Values: Step $1$ : Identify the formula for the volume of a cylinder and plug in the given values. $\newline$ Volume of a cylinder formula is $V = \pi r^2 h$ . Here, radius ( $r$ ) = $5$ inches, height ( $h$ ) = $10$ inches. $\newline$ Calculation: $V = 3.14 \times 5^2 \times 10$ .
Perform Calculations: Step $2$ : Perform the calculations to find the volume. $\newline$ First, calculate the square of the radius: $5^2 = 25$ . $\newline$ Then, multiply by $\pi$ and the height: $3.14 \times 25 \times 10 = 785$ .
Round Result: Step $3$ : Round the result to the nearest hundredth. $\newline$ The calculated volume is $785$ cubic inches, which is already to the nearest hundredth.

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