Questions: 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
Solution
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}\\)