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 = 4/3πr³

= 4/3 × 22/7 × 14cm × 14cm × 14cm

= 34496/3 cm³

= 11498.66 cm³

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 = 4/3πr³

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

= 0.004851 m³

☛ Check: NCERT Solutions for Class 9 Maths Chapter 13

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 cm³ cm of water is displaced by a spherical ball of diameter 28 cm and 0.004851 m³ of water is displaced by a spherical ball of the diameter of 0.21 m.

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