A) 27 : 20
B) 20 : 27
C) 9 : 4
D) 4 : 9
Correct Answer: B
Solution :
\[\frac{\text{Volume}\,\,\text{of}\,\,\text{first}\,\,\text{cylinder}}{\text{Volume}\,\,\text{of}\,\,\text{second}\,\,\text{cylinder}}\] \[=\frac{\pi r_{1}^{2}{{h}_{1}}}{\pi r_{2}^{2}{{h}_{2}}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{2}}\times \left( \frac{{{h}_{1}}}{{{h}_{2}}} \right)\] \[={{\left( \frac{2}{3} \right)}^{2}}\times \frac{5}{3}\times \frac{4}{9}\times \frac{5}{3}=20:27\]You need to login to perform this action.
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