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A cylinder has a height of $10$ yards and a radius of $11$ 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

10

yards and a radius of

11

yards. What is its volume? Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

\_\_\_\_

cubic yards

Identify Formula and Values: Identify the formula for the volume of a cylinder and plug in the given values. $\newline$ Volume = $\pi \times r^2 \times h$ $\newline$ Here, $r = 11$ yards, $h = 10$ yards. $\newline$ Volume = $3.14 \times 11^2 \times 10$
Calculate Radius Square: Calculate the square of the radius. $11^2 = 121$
Find Volume: Multiply the results to find the volume. $\newline$ Volume = $3.14 \times 121 \times 10$ $\newline$ Volume = $3.14 \times 1210$
Final Multiplication: Perform the final multiplication to get the volume. $\newline$ Volume = $3.14 \times 1210$ $\newline$ Volume = $3797.4$ cubic yards

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