Answer:
To find the diameter of the cylinder water tank, you can use the formula for the volume of a cylinder:
Volume = π * (radius^2) * height
Given that the tank contains 385,000 liters of water (which is equivalent to 385 cubic meters) and the height is 10 meters, you can rearrange the formula to solve for the radius:
385 = π * (radius^2) * 10
Now, isolate the radius:
radius^2 = 385 / (π * 10)
radius^2 ≈ 12.2599
Now, take the square root of both sides to find the radius:
radius ≈ √12.2599 ≈ 3.5 meters
Finally, to find the diameter, simply multiply the radius by 2:
Diameter ≈ 2 * 3.5 meters ≈ 7 meters
So, the diameter of the cylinder water tank is approximately 7 meters.