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Question

If a well of height 20 m and diameter 7 m is dug out and the sand extracted from it is used to make a cuboid platform of length 14 m, breadth 22 m, then what is the height of the platform?


A
10 m
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B
1 m
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C
2.5 m
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D
3.5 m
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Solution

The correct option is C 2.5 m
Given, diameter of well = 7 m
Radius of well = 3.5 m
Height of the well = 20 m
Volume of cylinder =πr2h                                     =π×3.52×20

Given, cuboid of length = 14 m, breadth = 22 m
Let, height be h m.
Volume of cuboid =l×b×h                                   =14×22×h

The volume of mud extracted from the well is used to make the platform.
Volume of platform (cuboid) = volume of well (cylinder)
14×22×h=π×3.52×20h=2.5m

Mathematics

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