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.​

Answer 1

Step-by-step explanation:

Given:

Length of Capsule (l) = 14 mm

Diameter of Capsule = Diameter of Cylinder =5 mm

Radius =

2

Diameter

Therefore, Radius of each Hemisphere = Radius of Cylinder = r =

2

5

= 2.5 mm

Length of Cylinder = AB = Total length of Capsule - Radius of left Hemisphere - Radius of Right Hemisphere

=14−2.5−2.5=9 mm

Surface Area of Capsule = Curved Surface Area of Cylinder + Surface Area of Left Hemisphere + Surface Area of Right Hemisphere

=2πrl+2πr

2

+2πr

2

=2πrl+4πr

2

=2×

7

22

×2.5×9+4×

7

22

×2.5

2

=

7

22

[45+25]=

7

22

×70=220 mm

2