A solid ball is exactly fitted the cubical box of side a. The volume of the ball is 4/3πr^3.

Question

Write ‘True’ or ‘False’ and justify your answer:

A solid ball is exactly fitted the cubical box of side a. The volume of the ball is 4/3πr³.

Answer 1

False

Let the radius of sphere be r

As the ball is exactly fitted into the cubical box.

Diameter of ball = Edge length of cube

2r = a

[As Diameter = 2(Radius)]

r = a/2

As we know,