Question:
A capsule of medicine is in the shape of a sphere of diameter $3.5 \mathrm{~mm}$. How much medicine $\left(\mathrm{mm}^{3}\right)$ is needed to fill this capsule?
Solution:
Given that
Diameter of capsule = 3.5 mm
Radius = 3.5/2 = 1.75 mm
Volume of spherical sphere $=4 / 3 \pi r^{3}$
$=4 / 3 \times 22 / 7 \times(1.75)^{3}$
$=22.458 \mathrm{~mm}^{3}$
Therefore $22.46 \mathrm{~mm}^{3}$ of medicine is required
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