# Find the amount of water displaced by a solid spherical ball of diameter

i) 28 cm ii) 0.21 m

**Solution:**

The amount of water displaced by a solid spherical ball is nothing but its volume.

The volume of a sphere = 4/3πr³

i) Diameter of the spherical ball, d = 28cm

Radius of the spherical ball, r = 28/2cm = 14cm

Therefore, the amount of water displaced = volume of the sphere = 4/3πr^{3}

= 4/3 × 22/7 × 14cm × 14cm × 14cm

= 34496/3 cm^{3}

= 11498.66 cm^{3}

ii) Diameter of the spherical ball, d = 0.21 m

Radius of the spherical ball, r = 0.21/2 m = 0.105 m

Therefore, the amount of water displaced = volume of a sphere = 4/3πr^{3}

= 4/3 × 22/7 × 0.105m × 0.105m × 0.105m

= 0.004851 m^{3}

**Video Solution:**

## Find the amount of water displaced by a solid spherical ball of diameter (i) 28 cm (ii) 0.21 m

### NCERT Solutions for Class 9 Maths - Chapter 13 Exercise 13.8 Question 2:

**Summary:**

We have found that 11498.66 cm^{3} cm of water is displaced by a spherical ball of diameter 28 cm and 0.004851 m^{3} of water is displaced by a spherical ball of the diameter of 0.21 m.