Question

A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm³) is needed to fill this capsule?

Answer 1

Radius of the capsule, r = \(\frac{3.5}{2}\) mm = 1.75 mm
 Volume of a spherical capsule = (\(\frac{4}{3}\)) \(\pi\)r³
= \(\frac{4}{3}\) × \(\frac{22}{7}\) × 1.75mm × 1.75mm × 1.75mm
= 22.46mm³ (approx.)

Therefore, the volume of the spherical capsule is 22.46 mm³ .