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Question

A cylindrical container of radius 28 m and height 24 m is full of water. The water is emptied into a dry swimming pool of length 100 m and breadth 28 m. Find the rise of water level in the swimming pool.


A

28.56 m

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B

21.12 m

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C

42. 24 m

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D

None of these

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Solution

The correct option is B

21.12 m


Let the height of swimming pool be x

We can equate the volume of the cylindrical container with the rectangular swimming pool

π×r2×h=lbh

227×(28)2×24=100×28×x

x = 21.12 m


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