Two circular cylinders of equal volume have their heights in the ratio `1 : 2`. The ratio of their radii is

Options

A. `1 : sqrt2`
B. `sqrt2 : 1`
C. `1 : 2`
D. `1 : 4`

Answer

B

Explanation

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`