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

Volume of Medicine Capsule 

Given:

• Diameter of the capsule = 3.5 mm
• Radius of the capsule \( r = \frac{3.5}{2} = 1.75 \, \text{mm} \)

Formula for the Volume of a Sphere:

The volume \( V \) of a sphere is given by the formula: \[ V = \frac{4}{3} \pi r^3 \]

Substituting the value of \( r \):

\[ V = \frac{4}{3} \pi (1.75)^3 \]

Calculation:

The volume is approximately: \[ V \approx 22.45 \, \text{mm}^3 \]

Conclusion:

The amount of medicine required to fill the capsule is approximately **22.45 mm³**.