Final answer:
After replacing 4 liters of milk with water three times in a cane initially containing 40 liters of milk, the remaining quantity of milk is 29.16 liters.
Step-by-step explanation:
To calculate the amount of milk left in the cane after the dilution process carried out three times, we can use the concept of concentration dilution. Initially, the cane contains 40 liters of milk. When 4 liters of milk is taken out and replaced by water, 36 liters of milk remains. The process is repeated twice more.
After each dilution, the quantity of milk in the can is multiplied by the ratio of the remaining volume to the total volume, which is (36/40) or 0.9.
So, after the first dilution:
First dilution: 40 L * 0.9 = 36 L
Second dilution: 36 L * 0.9 = 32.4 L
Third dilution: 32.4 L * 0.9 = 29.16 L
Therefore, the cane contains 29.16 liters of milk after the three dilution processes.