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# 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?

Q : 10    A capsule of medicine is in the shape of a sphere of diameter $\small 3.5\hspace{1mm}mm$. How much medicine (in $\small mm^3$) is needed to fill this capsule?

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Given,

The radius of the spherical capsule =$r =\frac{3.5}{2}$

$\therefore$The volume of the capsule = $\frac{4}{3}\pi r^3$

$= \frac{4}{3}\times\frac{22}{7}\times(\frac{3.5}{2})^3$

$= \frac{4}{3}\times22\times\frac{0.5\times3.5\times3.5}{8}$

$= 22.458\ mm^3 \approx 22.46\ mm^3\ \ (approx)$

Therefore, $22.46\ mm^3\ \ (approx)$ of medicine is needed to fill the capsule.

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