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A right circular cylinder just encloses a sphere of
radius r (see Figure). Find
(i) surface area of the sphere,
(ii) curved surface area of the cylinder,
(iii) ratio of the areas obtained in (i) and (ii).

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(i) Surface area of sphere = 4πr2 (ii) Height of cylinder = r + r = 2r Radius of cylinder = r CSA of cylinder = 2πrh = 2πr (2r) = 4πr2 (iii) Therefore, the ratio between these two surface areas is 1:1.
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(i) Surface area of sphere = 4πr2

(ii) Height of cylinder = r + r = 2r

Radius of cylinder = r

CSA of cylinder = 2πrh

= 2π(2r)

= 4πr2

(iii) 

Therefore, the ratio between these two surface areas is 1:1.

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