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A medicine capsule is in the shape of 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 - Mathematics

A medicine capsule is in the shape of cylinder with two hemispheres stuck to each of its ends (see the given figure). The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area. [Use π = 22/7]

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Solution

It can be observed that

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

= Diameter of the capsule/2 = 5/2

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

= 14 − 5 = 9 cm

Surface area of capsule = 2×CSA of hemispherical part + CSA of cylindrical part

= 2 x 2πr2 + 2πrh

`= 4pi(5/2)^2+2pi(5/2)(9)`

= 25π + 45π

= 70π mm2

= 70x 22/7

= 220 mm2

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 10 Maths
Chapter 13 Surface Areas and Volumes
Exercise 13.1 | Q 6 | Page 244
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