Question

A right circular cylinder just encloses a sphere of radius r . find

1 ) Surface area of the sphere

2) Curved surface area of the cylinder,

3) ratio of the areas obtained in (1) and (2).​

Answer 1

Answer:

Answer is given in the extension

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Answer 2

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$\small \red{{1 ) Surface \: area \: of \: the \: sphere \: = 4\pi \: r^{2} }} \\ \\ \small \blue{{2) For \: cylinder : \: radius \: of \: the \: base \: = r , \: height \: = 2 r.}} \\ \\ \small \red { { \therefore \: }} \small \pink{{Curved \: surface \: area \: of \: cylinder \: = \: 2\pi \: (r) \: (2r) = 4\pi \: r^{2} }} \\ \\ \small \orange {{3) Ratio \: of \: the \: required \: area \: is \: 1:1.}}$

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