A) \[\sqrt{2}:1\]
B) \[2:1\]
C) \[1:2\]
D) \[1:4\]
Correct Answer: A
Solution :
Let radius are \[{{r}_{1}}\] and \[{{r}_{2}}\] respectively. then \[{{\pi }_{1}}^{2}{{h}_{1}}={{\pi }_{2}}^{2}{{h}_{2}}\] where h, and hg are heights \[\therefore \] According to question. \[{{h}_{1}}:{{h}_{2}}=1:2\] \[\therefore {{r}_{1}}:{{r}_{2}}=\sqrt{{{h}_{2}}:{{h}_{1}}}\] \[=\sqrt{2:1}=\sqrt{2}:1\]
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