Questions: What is the volume of this cylinder? Use π ≈ 3.14 and round your answer to the nearest hundredth. cubic meters

What is the volume of this cylinder? Use π ≈ 3.14 and round your answer to the nearest hundredth. cubic meters
Transcript text: What is the volume of this cylinder? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ cubic meters
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Solution

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Solution Steps

Step 1: Find the radius

The radius is half of the diameter, which is given as 7 m. So, the radius is $$r = \frac{7}{2} = 3.5 \text{ m}$$

Step 2: Calculate the area of the base

The area of the circular base is given by the formula \(A = \pi r^2\), where \(r\) is the radius. Using \(\pi \approx 3.14\) and \(r = 3.5\) m, we get: $$A = 3.14 \times (3.5)^2 = 3.14 \times 12.25 = 38.465 \text{ m}^2$$

Step 3: Calculate the volume

The volume of a cylinder is given by the formula \(V = A \times h\), where \(A\) is the area of the base and \(h\) is the height. The height is given as 18 m. $$V = 38.465 \times 18 = 692.37 \text{ m}^3$$

Final Answer: The final answer is \\(\boxed{692.37}\\)

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