Diameter of a jar cylindrical in shape is increased by 25%. By what percent must the height be decreased so that there is no change in its volume?
A
10%
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B
25%
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C
36%
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D
50%
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Solution
The correct option is C36% Let radius be 'r' and height of the jar be 'h' respectively. Volume ==πr2h Increased radius =1.25r Decreased height H is given by πr2h=π(1.25r)2H ⇒H=h1625 Percent decrease in height =925×hh×100=36%