A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in \({mm}^3\)) is needed to fill this capsule?

Given :
Radius (r) of capsule = \(\frac{3.5}{2} mm = 1.75 mm\)

We know that,

Volume of spherical capsule
= \(\frac{4}{3}{\pi}{r}^3\)
= \(\frac{4}{3} × \frac{22}{7} × {1.75}^3\) \({mm}^3\)
= \(22.458\) \({mm}^3\)
= \(22.46\) \({mm}^3\)(appro×.)

Therefore ,the volume of the spherical capsule is \(22.46\) \({mm}^3\).