Multiple choice

$600$ persons took a dip in a rectangular tank which is $60 m$ long and $40 m$ broad. What is the rise in the level of water in the tank, if the average displacement of water by a person is $0.04\, m^{3}$?

  1. $4 cm$
  2. $3 cm$
  3. $2 cm$
  4. $1 cm$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total displacement = 600 * 0.04 = 24 m^3. The volume of water displaced equals the area of the tank base times the rise in height: 60 * 40 * h = 24. Thus, h = 24 / 2400 = 0.01 m, which is 1 cm.

AI explanation

The total volume of water displaced by all the persons is the number of people multiplied by the average displacement per person, calculated as 600 multiplied by 0.04 cubic meters, which equals 24 cubic meters. The volume of the raised water is also equal to the area of the tank base multiplied by the rise in water level, giving the equation 60 multiplied by 40 multiplied by the rise equals 24. Solving for the rise gives 24 divided by 2400, which equals 0.01 meters, or 1 cm. The rise in the water level is 1 cm.

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