Question

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

Answer 1

Diameter of capsule = 3.5 mm
$\text{Radius of capsule, say}r=\frac{\text{diameter}}{2}$
$\frac{3.5}{2}mm$
$=1.75mm$
$\text{Volume of spherical capsule}=\frac{4}{3}\pi r^3$
$\text{Volume of spherical capsule}=\left(\frac{4}{3}\right)\times \left(\frac{22}{7}\right)\times (1.75{)}^3$
$=22.458m{m}^3$
$\text{The volume of the spherical capsule is}22.46m{m}^3.$