A) 27 : 20
B) 20 : 27
C) 4 : 9
D) 9 : 4
Correct Answer: B
Solution :
| [b] \[\frac{{{r}_{2}}}{{{r}_{2}}}=\frac{2}{3}\] and \[\frac{{{h}_{1}}}{{{h}_{2}}}=\frac{5}{3}\] Ratio of volume of cylinder \[=\frac{{{V}_{1}}}{{{V}_{2}}}\] \[=\frac{\pi _{1}^{2}{{h}_{1}}}{\pi _{2}^{2}{{h}_{2}}}\] \[={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{2}}\times \left( \frac{{{h}_{1}}}{{{h}_{2}}} \right)={{\left( \frac{2}{3} \right)}^{2}}\times \left( \frac{5}{3} \right)\] \[=\frac{4}{9}\times \frac{5}{3}\times \frac{20}{27}=20:27\] |
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