Question

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?

Answer 1

$\bf \LARGE \it Hey \: User!!!$

according to the question, a capsule of medicine is in the shape of a sphere of diameter 3.5 mm.

therefore it's radius = 3.5/2mm

we have to find the amount of medicine needed to fill the capsule. for that we have to find the volume of the capsule.

as it's given that it is a spherical capsule, therefore it's volume = 4/3πr³
= 4/3 × 22/7 × 3.5/2 × 3.5/2 × 3.5/2
= 4/3 × 11/2 × 12.25/4
= 2/3 × 134.75/4
= 269.5/12
= 22.45mm³ (approximately)

hence, 22.45mm³ medicine is needed to be filled in the capsule.

$\bf \LARGE \it Cheers!!!$

Answer 2

Answer:- 22.458 mm^3

⇒ Given :-

Diameter (d) = 3.5mm

Radius (r) = 3.5/2 mm

⇒ To Find :- Volume of sphere ( Capsule of medicine)

⇒ Volume of medicine :- 4/3π(r)^3

4/3×(22/7)×(3.5/2)^3

4/3×(22/7)×(7^3/64)

22.458 mm^3