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?

Solution:

Since the capsule is spherical in shape, the amount of medicine needed to fill the capsule is the volume of a sphere.

The Volume of a sphere  = (4/3) πr³

Diameter of the spherical capsule, d = 3.5mm

Radius of the spherical capsule, r = 3.5/2mm = 1.75mm

Now, the medicine is needed to fill this capsule = The volume of the spherical capsule

The medicine needed to fill this capsule = (4/3) πr³

= 4/3 × 22/7 × 1.75mm × 1.75mm × 1.75mm

= 22.46mm³ (approx.)

☛ Check: NCERT Solutions for Class 9 Maths Chapter 13

Video Solution:

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?

NCERT ;Solutions for Class 9 Maths Chapter 13 Exercise 13.8 Question 10

Summary:

It is given that the capsule of medicine is in the shape of a sphere of diameter 3.5 mm. We have found that 22.46 mm³ of medicine is needed to fill this capsule.

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