A) 3 : 1
B) 1 : 3
C) 6 : 1
D) 1 : 2
Correct Answer: D
Solution :
| [d] Given, \[{{V}_{1}}={{V}_{2}}\] |
| \[\therefore \] \[\frac{1}{3}\pi r_{1}^{2}{{h}_{1}}=\frac{4}{3}\pi r_{2}^{3}\] \[[\because {{r}_{2}}={{r}_{1}}]\] |
| \[\Rightarrow \] \[\frac{{{h}_{1}}}{{{r}_{2}}}=\frac{4}{1}\]\[\Rightarrow \]\[\frac{{{h}_{1}}}{{{d}_{2}}}=\frac{2}{1}\] \[\Rightarrow \] \[{{d}_{2}}:{{h}_{1}}=1:2\] |
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