Q3 of 79 Page 244

A capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. If the length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm, find its surface area.

Given, Diameter of the capsule = 5 mm


Length of the entire capsule = 14 mm


Radius of the capsule = mm


= 2.5 mm


Height of cylinder = 14-5


= 9 mm


Lateral surface area of cylinder = 2rh


= 22.59


= 45 mm2


Lateral surface area of hemisphere = 2r2


= 22.52.5


= 12.5 mm2


Surface area of the solid = 12.5 +45 +12.5


= 70


= 70


= 220 mm2


Surface area of capsule is 220 mm2.


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