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 .