Q. 104.6( 13 Votes )
500 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 0.04m3 ?
Let the rise of water level in the pond be h meters, when 500 persons are taking a dip into a cuboidal pond.
Average displacement by a person = 0.04 m3
Average displacement by 500 persons = 500 ×0.04 = 20 m3
So, the volume of water raised in pond is 20 m3
Length of pond, l = 80 m
Breadth of pond , b = 50 m
Height is h
And we know,
Where, l, b and h are the length, breadth and height of tank respectively
Volume of water raised in pond = 80(50)(h)
20 m3 = 4000h
h = 0.005 m = 0.5 cm
[As 1 m = 100 cm]
So, Raise in water height is 0.5 cm.
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