Two circular cylinders of equal volumes have their heights in the ratio 1:2. Find the ratio of their radii.

Explanation

Volumes of two cylinders are equal.

Ratio of heights, `h/H=1/2`

h=height of one cylinder and H=Height of other cylinder

Ratio of their volumes

v=volume of one cylinder and V=volume of other cylinder

Radius is same to both of cylinders i.e. r

`v/V=`(pir^2h)/(piR^2H)`

`1= `(r/R)^2(1/2)`

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