32 liters of water were poured into the tank and thus 40% of its volume was filled. What is the volume of the tank?

Let x denote the volume of this tank.

In the initial data for this task, it is reported that after 32 liters of liquid were poured into an empty tank, this tank turned out to be 40% full, therefore, we can draw up the following equation:

(40/100) * x = 32,

deciding which, we find out the volume of the entire tank.

We solve the resulting equation.

(2/5) * x = 32.

Multiplying the right and left sides of this equation by the fraction 5/2, we get:

(2/5) * x * (5/2) = 32 * (5/2);

x = 32 * 5/2 = 5 * 32/2 = 5 * 16 = 80.

Answer: 80 liters.