A) \[8:3\]
B) \[3:8\]
C) \[4:3\]
D) \[3:4\]
Correct Answer: A
Solution :
\[\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{\frac{1}{3}\pi r_{1}^{2}{{h}_{1}}}{\pi r_{2}^{2}{{h}_{2}}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{2}}\times \frac{{{h}_{1}}}{{{h}_{2}}}\] \[\Rightarrow \] \[\frac{2}{3}={{\left( \frac{1}{2} \right)}^{2}}\times \frac{{{h}_{1}}}{{{h}_{2}}}\] \[\Rightarrow \] \[\frac{{{h}_{1}}}{{{h}_{2}}}=\frac{2}{3}\times 4=\frac{8}{3}\]
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