Question

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 ? ​

Answer 1

Diameter of spherical capsule = 3.5 mm.

Diameter of spherical capsule = 3.5 mm.Radius = \frac{3.5}{2} = 1. 75 mm.

Diameter of spherical capsule = 3.5 mm.Radius = \frac{3.5}{2} = 1. 75 mm.Medicine needed for its filling = volume of spherical capsule.

Diameter of spherical capsule = 3.5 mm.Radius = \frac{3.5}{2} = 1. 75 mm.Medicine needed for its filling = volume of spherical capsule.⇒ \frac{4}{3} π r³

Diameter of spherical capsule = 3.5 mm.Radius = \frac{3.5}{2} = 1. 75 mm.Medicine needed for its filling = volume of spherical capsule.⇒ \frac{4}{3} π r³Have a nice day mate ❤️

Good evening

Answer 2

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$\small \red{{Diameter \: of \: the \: spherical \: capsule \: = 3.5 \: mm}} \\ \small \blue{{Radius \: of \: the \: spherical \: capsule \: = \frac{3.5}{2} = 1.75 \: mm}} \\ \small \orange{{ \: Volume \: of \: the \: capsule \: = \frac{4}{3} \: \pi \: r^{3} = \frac{4}{3} \times \frac{22}{7} \times (1.75)^{3}}} \\ \small \pink{{ = \frac{4 \times 22 \times (1.75)^{3} }{21} = 22.458 \: mm^{3} = 22.46 \: mm^{3}(approx) }}$

$\small \red{{Therefore, \: need \: of \: medicine \: ( in \: mm^{3} ) \: to \: fill \: the \: capsule \: = 22.458 \: mm ^{3} }}$

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