Diameter of the cylindrical portion of capsule = 5 mm
Length of the cylindrical portion of capsule = 14 mm - 5mm = 9 mm
Curved surface area of the cylindrical portion of capsule = [tex]2\pi \: rh[/tex]
[tex] = 2 \times \frac{22}{7} \times \frac{5}{2} \times 9 = \frac{990}{7} mm {}^{2} [/tex]
Curved surface area of two hemisphere =[tex]4\pi \: r {}^{2} [/tex]
[tex] = 4 \times \frac{22}{7} \times ( \frac{5}{2} ) {}^{2} [/tex]
[tex] = 4 \times \frac{22}{7} \times \frac{25}{4} = \frac{550}{7} mm {}^{2} [/tex]
Surface area of the capsule = Curved surface area of cylindrical portion + Curved surface area of hemispherical ends
[tex] = ( \frac{990}{7} + \frac{550}{7} ) \: mm {}^{2} = 220 \: mm {}^{2} [/tex]
