A) \[2:1:3\]
B) \[2.5:1:3\]
C) \[1:2:3\]
D) \[1.5:2:3\]
Correct Answer: C
Solution :
(c): As they stand on the same base so their radius is also same. Then; volume of cone \[=\frac{\pi {{r}^{2}}h}{3}\] Volume of hemisphere \[=\frac{2\pi {{r}^{3}}}{3}\]; Volume of cylinder \[=\pi {{r}^{2}}h\] Ratio \[=\frac{\pi {{r}^{2}}h}{3}:\frac{2\pi {{r}^{3}}}{3}:\pi {{r}^{2}}h\] \[\Rightarrow \] \[\frac{h}{3}:\frac{2r}{3}:h\] \[\Rightarrow \] \[h:2r:3h\] Radius of a hemisphere = It?s height So, \[h:2h:3h\Rightarrow 1:2:3\]
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