A cubical tank with side 50 cm is full of water. If 61 litres of water is taken out of it, the level of water in the tank will drop by :

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  1. 24.4 cm
  2. 25 cm 
  3. 25.6 cm
  4. 30 cm 

Answer (Detailed Solution Below)

Option 1 : 24.4 cm
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Detailed Solution

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Given:

Side of cubical tank = 50 cm

Volume of water taken out = 61 litres = 61000 cm3

Formula used:

Volume of water removed = Area of base × Drop in water level

Area of base = Side × Side

Calculation:

Area of base = 50 × 50 = 2500 cm2

Volume of water removed = Area of base × Drop in water level

⇒ 61000 = 2500 × Drop in water level

⇒ Drop in water level = 61000 ÷ 2500

⇒ Drop in water level = 24.4 cm

∴ The correct answer is option (1).

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