Given,
Volume of cylinder 1 = volume of cylinder 2
Ratio of their height = 1 : 2
= \(\frac{h_1}{h_2}\) = \(\frac{1}{2}\)
We have,
= V1 = V2
= πr12h1 = πr22h2
= \(\frac{r^2_1}{r^2_2}\) = \(\frac{2}{1}\)
= \(\frac{r_1}{r_2}\) = \(\sqrt{\frac{2}{1}}\) = \({\frac{\sqrt2}{1}}\)