Question

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

Answer 1

Required surface area

$TSA=(2\times CSA\times$ of hemisphere)+$CSA$ of cylinder

$=2\times \left(2\pi r^2\right)+2\pi rh$

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

$=2\times \pi \times 2.5\left(2\right(2.5)+(14-5\left)\right)=220m{m}^2$