A) 1
B) 2
C) 3
D) \[\pi \]
Correct Answer: B
Solution :
If r be the radius of the sphere, and h be the height of the cone, then volume of the hemisphere \[\frac{2}{3}\pi {{r}_{3}},\] and volume of the cone \[=\frac{1}{3}\,\pi {{r}^{2}}h\] Since \[\frac{2}{3}\pi \,{{r}^{3}}=\frac{1}{3}\,\pi \,{{r}^{2}}h\] \[\therefore \] \[h=2r\] or \[\frac{h}{r}=2\] i.e. \[x=2\]
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