Tourists filled the pot to the brim with snow and melted 0.75 liters of water from it.

Tourists filled the pot to the brim with snow and melted 0.75 liters of water from it. Find the volume of the pot if the water is known to be four times as dense as the snow collected in the pot.

Since the mass of water and the mass of snow from which the water was melted are equal, the ratio will be true:

m1 = ρ1 * V1 = ρ2 * V2 = m2, where ρ1 is the density of water, V1 is the volume of water obtained (V1 = 0.75 l), ρ2 is the density of snow, V1 is the volume of snow in the pot, the volume of the pot.

From the conditions of the problem:

ρ1 = 4ρ2.

Let’s express and calculate the volume of the pot:

V2 = ρ1 * V1 / ρ2 = 4ρ2 * V1 / ρ2 = 4V1 = 4 * 0.75 = 3 liters.

Answer: The volume of the pot is 3 liters.