The capacity of a cylindrical tank is 3080 m³. If the radius of its base is 7 m, find the depth of the tank.

Volume of the cylindrical tank = $$3080 \, \text{m}^3$$​​

Radius of the base = $$7 \, \text{m}$$​​

The volume of a cylinder is given by the formula:

Volume = $$\pi r^2 h$$​​

where r is the radius of the base and h is the depth (or height) of the cylinder.

Substitute the given values into the formula:

​$$3080 = \pi (7)^2 h \\ \ \\h = \frac{3080}{\frac{22}{7} \times 49}\\ \ \\h = \frac{3080}{22 \times 7} \\ \ \\h = 20$$​​

Thus, the depth of the tank is 20 meters.