A rectangular tank measures 4 m long, 2 m wide and 4.8 m high. Initially it is half filled with water. Find the depth of water in the tank after 4000 litres more of water are added to it. Honflanet
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Step-by-step explanation:
First, what is the volume of the tank, V?
V = 4 * 2 * 4.8 = 38.4 cubic meters.
This is 3/4 full of water so the volume of the water is
3/4 * 38.4 cubic meters = 28.8 cubic meters.
In 1 cubic meter of water there are 1000 L. So, in L, the volume of water in the tank is
28.8 cubic meters * 1000 L/cubic meter = 28,800 L.
If you take out 4000 L
28,800–4,000 = 22,800 L.
At 3/4 full, the height of the water would have been 0.75 * 4.8 = 3.6 m. If you take out 4000 L (4,000/38.4 = 0.0825) you will reduce the height proportionally and it will decrease by 4.8 * 0.0825 = 0.396 m. So the new height (aka depth) will be 3.6 - 0.396 - 3.2 m.
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