A) \[4:\sqrt{3}\]
B) \[3:2\sqrt{3}\]
C) \[2:\sqrt{3}\]
D) \[3:\sqrt{3}\]
Correct Answer: D
Solution :
Let the heights be h and 3/i and the radii be r and R. Then \[\pi \,{{r}^{2}}h=\pi \,{{R}^{2}}\times 3h\] or \[{{r}^{2}}=3{{R}^{2}}\] or \[\frac{r}{R}=\sqrt{3}=\frac{3}{\sqrt{3}}\] \[\therefore \] \[r:R=3:\sqrt{3}\]You need to login to perform this action.
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