A) \[{{h}_{1}}:{{h}_{2}}\]
B) \[{{r}_{1}}:{{r}_{2}}\]
C) \[{{s}_{1}}:{{s}_{2}}\]
D) \[1:2\]
Correct Answer: A
Solution :
Volume of a cone \[=\frac{1}{3}\pi {{r}^{2}}h\] \[\therefore \]\[\text{ratio}=\frac{1}{3}\pi {{r}_{1}}^{2}{{h}_{1}}:\frac{1}{3}\pi {{r}_{2}}^{2}{{h}_{2}}\] \[{{h}_{1}}:{{h}_{2}}\](Given \[{{r}_{1}}={{r}_{2}}\])
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