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?
Solution and Explanation
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 .
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