Question

6. 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.
14 mm
Fig. 13.10​

Answer 1

Step-by-step explanation:

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

=(44 x 2.5 x 2) mm²

= 220 mm²

Therefore, Surface Area of capsule = 220 mm²