A cylinder has a height of 3 feet and a diameter of 8 feet. What is its volume? Use pi~~3.14 and round your answer to the nearest hundredth. _____ cubic feet

Formula Explanation: To find the volume of a cylinder, we use the formula V = πr^2h, where V is the volume, r is the radius of the base, h is the height, and π (pi) is approximately 3.14. First, we need to find the radius of the cylinder. The radius is half of the diameter.Calculate Radius: The diameter of the cylinder is given as 8 feet. Therefore, the radius r is 8 feet / 2 = 4 feet.Calculate Volume: Now we can calculate the volume of the cylinder using the formula V = πr^2h. We substitute r with 4 feet, h with 3 feet, and π with 3.14. V = 3.14 * (4 feet)^2 * 3 feetPerform Calculation: Performing the calculation: V = 3.14 * 16 feet^2 * 3 feet V = 3.14 * 48 feet^3Final Volume Calculation: Multiplying 3.14 by 48 gives us the volume in cubic feet. V = 150.72 cubic feetRound to Nearest Hundredth: Finally, we round the answer to the nearest hundredth as instructed. V ≈ 150.72 cubic feet (rounded to the nearest hundredth)

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A cylinder has a height of 3 feet and a diameter of 8 feet. What is its volume? Use pi~~3.14 and round your answer to the nearest hundredth.
_____ cubic feet

A cylinder has a height of $3$ feet and a diameter of $8$ feet. What is its volume? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\newline$ $\_\_\_\_\_$ cubic feet

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Grade 7

Volume of cubes and rectangular prisms: word problems

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Q. A cylinder has a height of

3

feet and a diameter of

8

feet. What is its volume? Use

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

\_\_\_\_\_

cubic feet

Formula Explanation: To find the volume of a cylinder, we use the formula $V = \pi r^2 h$ , where $V$ is the volume, $r$ is the radius of the base, $h$ is the height, and $\pi$ (pi) is approximately $3.14$ . First, we need to find the radius of the cylinder. The radius is half of the diameter.
Calculate Radius: The diameter of the cylinder is given as $8$ feet. Therefore, the radius $r$ is $8$ feet $/$ $2$ = $4$ feet.
Calculate Volume: Now we can calculate the volume of the cylinder using the formula $V = \pi r^2 h$ . We substitute $r$ with $4$ feet, $h$ with $3$ feet, and $\pi$ with $3.14$ . $\newline$ $V = 3.14 \times (4 \text{ feet})^2 \times 3 \text{ feet}$
Perform Calculation: Performing the calculation: $\newline$ $V = 3.14 \times 16 \text{ feet}^2 \times 3 \text{ feet}$ $\newline$ $V = 3.14 \times 48 \text{ feet}^3$
Final Volume Calculation: Multiplying $3.14$ by $48$ gives us the volume in cubic feet. $\newline$ $V = 150.72$ cubic feet
Round to Nearest Hundredth: Finally, we round the answer to the nearest hundredth as instructed. $\newline$ $V \approx 150.72$ cubic feet (rounded to the nearest hundredth)