Calculate how many liters of water enter the tank if the circumference of the barrel is 190 cm and the height is 70 cm.

Let’s find what the radius of the circle that lies at the base of the given barrel is equal to.

Let’s denote the radius of this circle by r.

From the condition of the problem it is known that the length of the circle that lies at the base of this barrel is 190 cm, therefore, we can draw up the following equation:

2πr = 190.

We solve the resulting equation:

r = 190 / (2π);

r = 95 / π cm.

Find the area S of the circle that lies at the base of this barrel:

S = πr ^ 2 = π (95 / π) ^ 2 = 95 ^ 2 / π = 9025 / π cm ^ 2.

Find the volume of the barrel:

V = 70 * 9025 / π = 631750 / π cm ^ 3 ≈ 201092.3 cm ^ 3 ≈ 201.1 l.

Answer: The barrel contains 201.1 liters of water.