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In a cylinder its radius is halved and height is doubled then find the ratio of volume of original to new one.

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Solution: Volume of a cylinder=\pi r^2h

Original volume =\pi r^2h

New radius =\ r/2

New height =\ 2h

New volume =\ pi 	imes (r/2)^2	imes 2h=pi 	imes r^2/2	imes h

Volume of original cylinder : Volume of new cylinder =\ (pi 	imes r^2	imes h):(pi 	imes r^2/2	imes h)=2

 

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Deependra Verma

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