Calculate the diameter of a water storage tank with a capacity 6 cubic metres and 2.4m height?

To calculate the diameter of a water storage tank, we can use the formula for the volume of a cylinder:

Volume = π * r^2 * h

Where:
- Volume is the capacity of the tank (6 cubic meters)
- π is a mathematical constant approximately equal to 3.14159
- r is the radius of the tank (which is half of the diameter)
- h is the height of the tank (2.4 meters)

Rearranging the formula, we can solve for the radius:

r^2 = Volume / (π * h)

r^2 = 6 / (3.14159 * 2.4)
r^2 ≈ 0.79577

Taking the square root of both sides, we find:

r ≈ √0.79577
r ≈ 0.892 meters

Finally, we can calculate the diameter by multiplying the radius by 2:

Diameter = 2 * r
Diameter ≈ 2 * 0.892
Diameter ≈ 1.784 meters

Therefore, the diameter of the water storage tank is approximately 1.784 meters.