Answer:
Let \[{{r}_{1}}\] and \[{{r}_{2}}\] are radii of two cylinders \[\frac{{{r}_{1}}}{{{r}_{2}}}=\frac{1}{2}\] Let \[{{h}_{1}}\] and \[{{h}_{2}}\] are heights of two cylinder \[\frac{{{h}_{1}}}{{{h}_{2}}}=\frac{2}{3}\] Let \[{{V}_{1}}\] and \[{{V}_{2}}\] columns of two cylinders \[\therefore\] \[\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{\pi {{r}^{2}}_{1}{{h}_{1}}}{{{\pi }^{2}}_{2}{{h}_{2}}}\] \[=\frac{1}{4}\times \frac{2}{3}\] \[\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{1}{6}\]
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