A) 2 : 1
B) 1: 8
C) 1 : 2
D) 8: 1
Correct Answer: C
Solution :
Let the height and radius of cone are h and r respectively. \[\therefore \] \[{{V}_{1}}=\frac{1}{3}\pi {{r}^{2}}h\] New height of cone \[=2\,h\] \[\therefore \] \[{{V}_{2}}=\frac{1}{3}\pi {{r}^{2}}(2h)=2\left( \frac{1}{3}\pi {{r}^{2}}h \right)\] \[\Rightarrow \] \[{{V}_{2}}=2{{V}_{1}}\] \[\Rightarrow \] \[\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{1}{2}=1:2\]
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