Question

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

Answer 1

Surface area of capsule $=2\pi rh+2\times 2\pi r^2$

Daimeter of capsule $=5mm$

Radius of cylinder $=$ Radius of hemisphere $=\frac{5}{2}=2.5mm$

Height (h) $=14-2.5-2.5=9mm$

$TSA=2\pi r(h+2r)$

$=2\times \frac{22}{7}\times 2.5(9+5)$

$=220{mm}^2$