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A right circular cylinder just encloses a sphere of radius r (see fig.).
 
YCIND_240304_6078_sphere in cylinder.png
 
Find: 
(i) surface area of the sphere =
 
(ii) curved surface area of the cylinder =
 
(iii) ratio of the areas obtained in (i) and (ii) =
Answer variants:
4 \pi r^2 sq.units
1:4
3 \pi r^2 sq.unirs
2:1
4:1
1:1
2 \pi r^2 sq.units