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

Surface area of the sphere

Curved surface area of the cylinder

Ratio of the areas obtained above

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Solution

i)surface area of the sphere = 4πr2 ii) Height of the cylinder(h)= r + r = 2r Curved surface area of the cylinder = 2πrh = 2πr(2r) = 4πr2 iii) ratio of the areas of (i) and (ii ). = 4πr2 : 4πr2 = 1:1

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Similar questions

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).

r

A right circular cylinder just encloses a sphere of radius a cm, then the curved surface area of the cylinder is:

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