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50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:
  • a)
    20 cm
  • b)
    25 cm
  • c)
    35 cm
  • d)
    50 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
50 men took a dip in a water tank 40 m long and 20 m broad on a religi...
Total volume of water displaced
= (4 × 50) m3 = 200 m3
∴ Rise in water level = [200/( 40 × 20)] m
= 0.25 m =25 cm
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Most Upvoted Answer
50 men took a dip in a water tank 40 m long and 20 m broad on a religi...
Given:
Length of water tank = 40 m
Breadth of water tank = 20 m
Volume of water displaced by one man = 4 m3
Number of men who took a dip in the tank = 50

To find:
Rise in the water level in the tank

Solution:
Total volume of water displaced by 50 men = 50 × 4 = 200 m3

Let the rise in the water level be ‘h’ meters.
Then, the volume of water displaced = Length × Breadth × Rise in water level
=> 40 × 20 × h = 200
=> h = 200/(40 × 20)
=> h = 0.25 m = 25 cm

Therefore, the rise in the water level in the tank is 25 cm.

Answer:
Option B. 25 cm
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