A) 27 : 20
B) 20 : 27
C) 9 : 4
D) 4 : 9
Correct Answer: B
Solution :
\[\because \] \[{{r}_{1}}:{{r}_{2}}=2:3,\] \[{{h}_{1}}:{{h}_{2}}=5:3\] \[\therefore \] \[\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{\pi r_{1}^{2}{{h}_{1}}}{\pi r_{2}^{2}{{h}_{1}}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{2}}\left( \frac{{{h}_{1}}}{{{h}_{2}}} \right)\] \[={{\left( \frac{2}{3} \right)}^{2}}\left( \frac{5}{3} \right)\] \[=\frac{4\times 5}{9\times 3}=\frac{20}{27}\]
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