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A cylinder has a height of $11$ inches and a radius of $12$ 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

11

inches and a radius of

12

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. $\newline$ Radius( $r$ ): $12$ inches $\newline$ Height( $h$ ): $11$ inches $\newline$ Volume formula: $V = \pi r^2 h$ $\newline$ Plugging in the values: $V = 3.14 \times 12^2 \times 11$
Calculate Radius Square: Step $2$ : Calculate the square of the radius. $\newline$ Calculation: $12^2 = 144$ $\newline$ Now, substitute back into the volume formula: $V = 3.14 \times 144 \times 11$
Find Volume: Step $3$ : Multiply to find the volume. $\newline$ Calculation: $V = 3.14 \times 144 \times 11$ $\newline$ $V = 3.14 \times 1584$ $\newline$ $V = 4973.76$ cubic inches

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