A) 3 : 2
B) 2 : 3
C) 1 : 2
D) 2 : 1
Correct Answer: A
Solution :
Volume of sphere \[=\frac{4}{3}\pi {{r}^{3}}\] |
Volume of cylinder \[=\pi {{r}^{2}}h\] |
As given, \[\pi {{r}^{2}}h=\frac{4}{3}\pi {{r}^{3}}\]\[\Rightarrow \]\[h=\frac{4}{3}r\] |
\[\Rightarrow \] \[\frac{h}{r}=\frac{4}{3}\] |
\[\Rightarrow \] \[\frac{h}{2r}=\frac{4}{3\times 2}=\frac{2}{3}\] |
\[\therefore \] \[\frac{d}{h}=\frac{3}{2}\] [where d = 2r] |
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