# 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?

**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) πr^{3}

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) πr^{3}

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

= 22.46mm^{3} (approx.)

**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 mm^{3} of medicine is needed to fill this capsule.