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).
Solution (i)
Radius of sphere
Surface Area of sphere
Solution (ii)
A right circular cylinder just encloses a sphere of radius r which means radius of cylinder=radius of sphere=r.
Height of cylinder
= Diameter of sphere
Curved surface area of cylinder
Solution (iii)
Ratio of areas obtained in (i) and (ii)
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