Question

An open rectangular tank that is 4m long, 2m wide and 4.8m high, is initially three quarters filled with water. Find the depth of water in the tank after 4000 litres of water is added to it

Answer 1

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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Answer 2

Step-by-step explanation:

1. 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.

Second Method :

see the both attachment

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