Tourists filled a pot full of snow and melted 0.2 liters of water out of it. Find the volume of the pot

Tourists filled a pot full of snow and melted 0.2 liters of water out of it. Find the volume of the pot if the water is five times thicker than snow.

The density of water ρw is 5 times higher than the density of snow ρsn, ρw = 5ρsn. From the table of densities, we know that ρw = 1g / cc, then ρsn = 1/5 g / cc. According to the condition, the volume of water is Vw = 0.2l = 200 cubic cm, and then the mass of water is mw = ρwVw = 200g. Since the mass of water and snow is the same, we obtain the equality mсн = ρснVсн. Hence we obtain Vsn = mv / ρsn; the volume of the pot Vcoat coincides with the volume of snow, Vcoat = 200g: 1/5 g / cc = 1000 cc. We have shown that since density and volume are inversely proportional, then with a constant mass, how many times the density has decreased, how many times the volume has increased.
Answer: the volume of the pot is 1000 cc.



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