A capsule of medicine is in the shape of a sphere of diameter $3.5$ mm. How much medicine ( in $m m^{3}$ ) is needed to fill this capsule?

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Solution

Given: Diameter of spherical capsule = 3.5 mm.
Radius $= \frac{3.5}{2} = 1.75 m m$

Medicine needed for its filling = volume of a spherical capsule
Volume of sphere $= \frac{4}{3} π r^{3}$
$= \frac{4}{3} \times \frac{22}{7} \times {1.75}^{3}$
$= 22.46 m m^{3}$

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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?

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