Five hundred persons are taking a dip into a cuboidal pond which is 80 m long and 50 m broad. What is the rise of water level in the pond, if the average displacement of the water by a person is 0.04  m 3 ?

# Five hundred persons are taking a dip into a cuboidal pond which is 80 m long and 50 m broad. What is the rise of water level in the pond, if the average displacement of the water by a person is

1. A
0.2cm
2. B
0.6cm
3. C
0.5cm
4. D
0.1cm

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### Solution:

Given that five hundred persons are taking a dip into a cuboidal pond. The length and breadth of the pond are 80 m and 50 m respectively.
The formula for volume of a cuboid of length l, breadth b, and height h is given by $l×b×h.$
The average displacement of the water by a person is  .
The displacement of water by 500 persons = the rise in the volume of the pond.
Let D denotes the displacement of water by 500 people in the pond.

The displacement of water by 500 persons is  .
Let the rise of water level in pond be h.

The rise of water level in pond is 0.005m.
We know that, 1 m = 100 cm.
cm
Thus, the rise of water level in the pond is 0.5cm.
Therefore, the correct answer is option (3).

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