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Question 6
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.


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Solution

Height of cylinder =145=9 mm,
Radius, r =2.5 mm
Curved surface area of cylinder
=2πrh
=2π×2.5×9
=45π mm2
Curved surface area of two hemispheres
=2×2πr2
=4π×2.52
=25π mm2
Total surface area:
=Curved surface area of cylinder + Curved surface area of two hemispheres
=45π+25π
=70π=220 mm2


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