Question

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 ?

• A. $21.458m{m}^3$
• B. $22.458m{m}^3$
• C. $22.548m{m}^3$
• D. None of these

Answer 1

The correct option is B $22.458m{m}^3$

Volume of medicine $=\frac{4}{3}\times \frac{22}{7}\times {\left(\frac{3.5}{2}\right)}^{3}m{m}^3=\frac{4}{3}\times \frac{22}{7}\times \frac{7^3}{64}m{m}^3=22.458m{m}^3$