A right circular cylindrical vessel contains a mixture of milk and water in the ratio 4 : 5 4:5 4 : 5 . When x x x ml of this mixture is removed and r...
Question
A right circular cylindrical vessel contains a mixture of milk and water in the ratio . When ml of this mixture is removed and replaced by ml of pure milk, the ratio of milk to water in the resulting mixture becomes . The amount of mixture removed is $108$ ml less than the initial volume of the mixture in the vessel.
Given that the radius of the cylindrical vessel is and of the vessel remains empty, find the height of the vessel.