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? ( $A s s u m e π = 22 / 7$ )

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Solution

Finding the quantity of the medicine in the capsule
Given
$D i a m e t e r o f c a p s u l e = 3.5 m m$
$R a d i u s o f c a p s u l e, s a y r = d i a m e t e r / 2 = (3.5 / 2) m m = 1.75 m m$
$t h e v o l u m e o f s p h e r i c a l c a p s u l e = 4 / 3 π r 3$
$= (4 / 3) \times (22 / 7) \times (1.75) 3$
$= 22.458 m m 3$
Therefore, $22.46 m m^{3}$ medicine is needed to fill the capsule

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