A) \[1:2\]
B) \[2:3\]
C) \[3:4\]
D) \[4:5\]
Correct Answer: A
Solution :
Volume of cone, \[C=\frac{1}{3}\pi \,{{R}^{2}}H\] \[=\frac{1}{3}\pi {{R}^{3}}\] \[(\because \,H=R)\] Volume of hemisphere, \[H=\frac{2}{3}\pi {{R}^{3}}\] \[\therefore \] \[C:H=\frac{1}{3}\pi {{R}^{3}}:\frac{2}{3}\pi {{R}^{3}}=1:2\]You need to login to perform this action.
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