Q. 64.3( 308 Votes )

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see Fig. 13.10). The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.

Answer :

According to the question,

Radius (r) of cylindrical part = Radius (r) of hemispherical part


Length of cylindrical part (h) = Length of the entire capsule - 2 × r


= 14 - 5


= 9 cm


Surface area of capsule = 2 × C S A of hemispherical part + C S A of cylindrical part


( Curved Surface Area of cylinder = 2Πrh, Curved Surface Area of Hemisphere = 2Πr2)

= 2 x 2πr2 + 2πrh



= 70 x 


= 220 mm2
Therefore, Surface Area of capsule = 220 mm2

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