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Two circular cylinders of equal volume have their heights in the ratio `1 : 2`. The ratio of their radii isA. `1 : sqrt2`B. `sqrt2 : 1`C. `1 : 2`D. `1 : 4`

Answer» Correct Answer - B
Let their heights be x cm and 2x cm respectively and let their radii be `R_(1) and R_(2)` respectively. Then,
`pi xx R_(1)^(2) xx x = pi xx R_(2)^(2) xx 2x`
`rArr ((R_(1))/(R_(2)))^(2) = 2 rArr (R_(1))/(R_(2)) = sqrt2 = (sqrt2)/(1) = sqrt2 : 1`


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