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. \[\therefore \]\[{{V}_{1}}=\frac{1}{3}\pi {{r}^{2}}h\] ?(i) New height of cone = 2 h \[\therefore \]\[{{V}_{2}}=\frac{1}{3}\pi {{r}^{2}}(2\,\,h)=2\left( \frac{1}{3}\pi {{r}^{2}}h \right)\] \[\Rightarrow \] \[{{V}_{2}}=2{{V}_{1}}\,\,\,\,\therefore \frac{{{V}_{1}}}{{{V}_{2}}}=\frac{1}{2}=1:2\]
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