Question

a capsule of medicine is in the shape of a sphere of diameter 3.5mm. how much medicine is needed to fill the capsule​

Answer 1

ANSWER

Diameter of spherical capsule = 3.5 mm.

Radius = \frac{3.5}{2} = 1. 75 mm.

Medicine needed for its filling = volume of spherical capsule.

⇒ \frac{4}{3} π r³

\mathsf{⇒ \frac{4}{3} \times \frac{22}{7} \times \frac{175}{100} \times \frac{175}{100} \times \frac{175}{100} } \\ \\ \mathsf{ \frac{673750}{3 \times 100 \times 100} } \\ \\ \mathsf{ \approx 22.46 \: mm {}^{3}}