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?
10%
25%
36%
50%
A
50%
B
10%
C
36%
D
25%
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Solution
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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%
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