A) 2 : 9 : 2
B) 4 : 9 : 1
C) 4 : 27 : 2
D) 2 : 3 : 1
Correct Answer: C
Solution :
[c] Let radii of cone, cylinder and' hemisphere are 2r, 3r and r respectively. Volume of cone : Volume of cylinder : Volume of hemisphere \[=\frac{1}{3}\pi \,{{(2r)}^{2}}h:\pi \,{{(3r)}^{2}}h:\frac{2}{3}\pi {{r}^{3}}\] \[=\frac{1}{3}h:9h:\frac{2}{3}r\] (for hemisphere r = h) \[=\frac{4}{3}h:9h:\frac{2}{3}h=4:27:2\] |
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