Question

A capsule of medicine is in the shape of a sphere of diameter 3.5 mm.
How much medicine $inm{m}^3$ is needed to fill this capsule?
$[Assume\pi =\frac{22}{7}]$

• A. $32.46m{m}^3$.
• B. $22.46m{m}^3$.
• C. $62.46m{m}^3$.
• D. $28.46m{m}^3$.

Answer 1

The correct option is B

$22.46m{m}^3$.

Radius (r) of the capsule $=\left(\frac{3.5}{2}\right)mm=1.75mm$
Volume of the spherical capsule $=\frac{4}{3}\pi r^3$
$=[\frac{4}{3}\times \frac{22}{7}\times (1.75{)}^3]m{m}^3$
$=22.458m{m}^3$
$=22.46m{m}^3$ (approximately)
Therefore, the volume of medicine needed to fill the spherical capsule is $22.46m{m}^3$.