Find the amount of water contained in a cylindrical tank of radius 7 m and height 20 m. It is known that the tank is completely filled.

Radius of the cylindrical tank, r = 7 m

Height of the cylindrical tank, h = 20 m

The volume of water contained in a cylindrical tank (assuming it is completely filled) is equal to the volume of the cylinder.

The volume V of a cylinder is given by:

​$$V=πr^2h$$​​

where r is the radius and h is the height.

Substitute the values into the formula:

​$$V = π×(7)^2 × 20$$​​

​$$V = π × 49×20$$​​

​$$V = \frac{22}{7} \times 49 \times 20$$​​

​$$V = 22 \times 7 \times 20$$​​

​$$V = 3080 \,m^3$$​​

Thus, the amount of water contained in the cylindrical tank is approximately 3080 cubic meters.