A) 2 : 1
B) 1 : 3
C) \[1:\sqrt{2}\]
D) 1 : 1
Correct Answer: D
Solution :
(d) Clearly, the radius of the cylinder is r and its height is 2r = Surface area of the sphere \[=4\pi {{r}^{2}}\] Radius of the cylinder = r, Height of the cylinder = 2r \[\therefore \]= Curved surface area of the cylinder \[=2\pi r\times 2r=4\pi {{r}^{2}}\] Required ratio \[=4\pi {{r}^{2}}:4\pi {{r}^{2}}=1:1\]
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