The dimensions of a tank are 4m x 3m x 2m. When it is half full , it contains 12000 L of water. If 600 L water is added to the tank, how high will the water level rise ?
Given, dimensions of a tank are 4 m × 3 m × 2 m.
Therefore, volume of the tank = 4 m × 3 m × 2 m = 24 m3 = 24000 L [As 1 m3 = 1000 L]
Now, it is given that when tank is half filled it contains 12000 L of water.
From above conditions we have, when the tank is completely filled i.e., have an water upto height of 2 m then it contains total 24000 L of water.
So, height of water level when the tank is half-filled = 2/2 m = 1 m
Now, 600 L of water is added to the tank.
Therefore, total amount of water in the tank = 12000 L + 600 L = 12600 L = 12.6 m3
Let the height of water level = h m
According to the given conditions,
4 m × 3 m × h m = 12.6
⇒ h = 1.05 m
So, increase in water level on adding 600 L of water = 1.05 m - 1m = 0.05 m