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Question

If the radius of a cylinder is reduced by 50 %, then the volume of the cylinder will get reduced by 
( Take π=227 )



A

25%

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B

50%

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C

75%

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D

40%

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Solution

The correct option is C

75%


Let the radius of the old cylinder be R and that of the new cylinder be r.
Given that radius is reduced by 50% then r=R2
Volume of old cylinder =πR2h
Volume of new cylinder =πr2h
=π×(R2)2×h

=π×R24×h

Reduction in volume =πR2hπ×R2×h4=34πR2h

Percentage reduction =34πR2hπR2h×100
=34×100
=75%


Mathematics

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