The formula to calculate the volume of a cylindrical tank is given by:

Volume = π r^2 h,

where:

- Volume is the capacity of the tank (3080 m^3),

- π is the constant (22/7),

- r is the radius of the base of the tank (half of the diameter),

- h is the depth of the tank (what we want to find).

Given that the diameter of the base is 14 m, the radius (r) is half of that:

r = 14 m / 2 = 7 m.

Substitute the values into the formula:

3080 = (22/7) (7^2) h.

Now solve for h:

h = \(\frac{3080}{(22/7) 7^2}\).

h=20m