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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}

\thereforeThe 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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