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
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volume= pi x r x r x h
new R= 1.25 x r
volume = pi x 1.25 r x 1.25 r x h
volume = pi x R x R x h x (1.5625)
volume = pi x R x R x H/1.5625 x (1.5625)
volume = pi x R x R x H (64%)
i.e height should be taken as aprox 64%
i.e decrease in height is 36%
new R= 1.25 x r
volume = pi x 1.25 r x 1.25 r x h
volume = pi x R x R x h x (1.5625)
volume = pi x R x R x H/1.5625 x (1.5625)
volume = pi x R x R x H (64%)
i.e height should be taken as aprox 64%
i.e decrease in height is 36%
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