The heights of two cylinders are in the ratio of 3 1 If the volumes of two cylinders be same the rat...........

Quantitative Aptitude ( CCS) Mensuration 3D

The heights of two cylinders are in the ratio of 3: 1. If the volumes of two cylinders be same, the ratio of their respective radii is

√3:1

1: √3

1 : 9

None of these

Let H,h are heights of two cylinders

and

R , r are their radii respectively.

H : h = 3 : 1 ( given )

=> ( H/h ) = 3/1 ------( 1 )

It is given that their volumes are equal.

Ratio of their volumes = 1

=> ( πR²H )/( πr²h ) = 1

=> ( R/r )² × ( H/h ) = 1

=>( R/r )² × ( 3/1 ) = 1 [ from ( 1 )

=> ( R/r )² = 3/1

=> R/r = √(3/1)

=> R : r = √3 : 1

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