A) \[1:\sqrt{2}\]
B) \[\sqrt{2}:1\]
C) \[1:2\]
D) \[2:1\]
Correct Answer: B
Solution :
Curved surface of hemisphere \[=2\pi {{r}^{2}}\] Height of cone = Height of hemisphere = r Curved surface of cone \[=\pi rl=\pi r\sqrt{{{r}^{2}}+{{r}^{2}}}=\sqrt{2}\pi {{r}^{2}}\] \[\therefore \] Ratio of curved surfaces \[=2\pi {{r}^{2}}:\sqrt{2}\pi {{r}^{2}}=\sqrt{2}:1\]
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