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Question

Two right circular cylinder of equal volumes have their heights in the ratio  1 : 2. The  ratio of their radii is


Options:
A .  1 : 2
B .  1 : 4
C .  2 : 1
D .  `sqrt(2) : 1`
Answer: Option D

Let their height be  h and 2h and radii be r  and  R respectively.    Then ,

`pi r^2 h= pi R^2 (2h)`

`hArr      r^2/R^2 =( 2h)/(h)`

`hArr      r^2/R^2 = 2/1`

`hArr     r/R = sqrt(2)/1`        `   i.e     sqrt(2) : 1`




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