A cylindrical tank of radius 14 cm is full of water. If 616 litres of water are drawn out, then the water level in the tank is dropped by _______ m. (Take π = 22/7)

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Accepted Answer

Step 1: Convert the volume of water drawn out from litres to cubic centimeters.  
1 litre = 1000 cm³  
So, 616 litres = 616 × 1000 = 616000 cm³

Step 2: Use the formula for the volume of a cylinder:  
Volume = π × r² × h  
Here, r = 14 cm, h = drop in water level (in cm)

Step 3: Substitute the values and solve for h:  
616000 = (22/7) × (14)² × h

Calculate (14)² = 196  
So,  
616000 = (22/7) × 196 × h

Calculate (22/7) × 196:  
= 22 × 28 = 616

So,  
616000 = 616 × h

Divide both sides by 616:  
h = 616000 / 616 = 1000 cm

Step 4: Convert cm to meters:  
1000 cm = 1000 / 100 = 10 meters

Therefore, the water level drops by 10 meters.

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