Question

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

• A. $240m{m}^2$
• B. $280m{m}^2$
• C. $220m{m}^2$
• D. $120m{m}^2$

Answer 1

The correct option is C $220m{m}^2$

Height of the cylinder
$=14-5=9$mm
Radius$=2.5$mm
Curved Surface Area of Cylinder = $2\pi rh$
$=2\pi \times 2.5\times 9$
$=45\pi m{m}^2$
Curved Surface Area of two Hemispheres = $4\pi r^2$
$=4\pi \times {2.5}^2$
$=25\pi m{m}^2$
Total Surface Area = $=45\pi +25\pi$
$=70\pi$
$=70\times \frac{22}{7}$
$=220m{m}^2$