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In a swimming pool measuring 90 m by 40 m, 150 men take a dip. If the average displacement ofwater by a man is 8 cubic metres, what will be rise in water level?
  • a)
    30 cm
  • b)
    50 cm
  • c)
    20 cm
  • d)
    33.33 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a swimming pool measuring 90 m by 40 m, 150 men take a dip. If the ...
Let the rise in height be = h
Then, as per the question, the volume of water should be equal in both the cases.
Now, 90 × 40 × h = 150 × 8
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Most Upvoted Answer
In a swimming pool measuring 90 m by 40 m, 150 men take a dip. If the ...
To find the rise in water level, we need to calculate the total volume of water displaced by the men and then divide it by the area of the pool.

Given information:
- Length of the pool = 90 m
- Width of the pool = 40 m
- Number of men = 150
- Average displacement of water by a man = 8 cubic meters

Let's calculate the total volume of water displaced by the men:
Total volume = Average displacement per man * Number of men
= 8 cubic meters/man * 150 men
= 1200 cubic meters

Now, let's calculate the rise in water level:
Rise in water level = Total volume / Area of the pool

Area of the pool = Length of the pool * Width of the pool
= 90 m * 40 m
= 3600 square meters

Rise in water level = 1200 cubic meters / 3600 square meters
= 1/3 meters
= 0.3333 meters
= 33.33 cm

Therefore, the rise in water level is 33.33 cm.

Hence, the correct answer is option D) 33.33 cm.
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