A cylindrical tank has a capacity of 4774 m³. If the radius of the base is 7 m, what is the depth? (Use π = 22/7)

Volume of the cylindrical tank = $$4774 \, \text{m}^3$$​​

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:

​$$4774 = \pi (7)^2 h \\ \ \\h = \frac{4774}{\frac{22}{7} \times 49}\\ \ \\h = \frac{4774}{22 \times 7} \\ \ \\h = 31$$​​

Thus, the depth of the tank is 31 meters.