A right circular cylinder just enclose a sphere of radius r. Find
(1) surface area of the sphere
(2) c.s.a of the cylinder,
(3) ratio of the areas obtained in 1 and 2
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Answer:
(i) Surface area of sphere = 4πr2
(ii) Height of cylinder = r + r = 2r [ As sphere touches both upper and lower surface of cylinder]
Radius of cylinder = r
CSA of cylinder = 2πrh
= 2πr (2r)
= 4
r2
(iii) Ratio =
=
= 1
Ratio = 1: 1
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