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# A capsule of medicine is in the shape of a sphere of diameter 3.5 mm.

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