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Question

A 20m deep well having diameter 7m is dug and the earth dug out is evenly spread to form a platform 22m by 14m. Find the height of the platform.


A

5.0 m

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B

2.81 m

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C

3.95 m

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D

2.5 m

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Solution

The correct option is D

2.5 m


Let h be the height of the platform

Volume of the cylinder = πr2h=227×(3.5)2×20=770m3

Volume of a cuboid = l × b × h = 22 × 14 × h = 308h

Volume of cylinder = volume of cuboid

770 = 308h h = 2.5 m

Height of platform = 2.5m


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