Question

A capsule of medicine is in the shape of a sphere of diameter 3.5mm.How much medicine (in mm cube) is needed to fill this capsule?

give full solution.

Answer 1

$\huge{\mathcal{Hi\: there!}}$

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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

$\mathsf{⇒ \frac{4}{3} \times \frac{22}{7} \times \frac{175}{100} \times \frac{175}{100} \times \frac{175}{100} } \\ \\ \mathsf{ \frac{673750}{3 \times 100 \times 100} } \\ \\ \mathsf{ \approx 22.46 \: mm {}^{3}}$

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Thanks for the question !

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Answer 2

here is your answer OK


Medicine needed to fill capsule = area of capsule = pie r square

r = 3.5/2 = 7/4

area = 22/7 * 7/4 * 7/4

= 77/8

= 9.625 mm