Question

Question 4
Write ‘True’ or ‘False’ and justify your answer in the following
A solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is $\frac{4}{3}\pi a^3$

Answer 1

The given statement is false.
Because solid ball is exactly fitted inside the cubical box of side a. So a is the diameter for the solid ball.
$\therefore$ Radius of the ball $=\frac{a}{2}$
So,Volume of the ball $=\frac{4}{3}\pi {\left(\frac{a}{2}\right)}^3=\frac{1}{6}\pi a^3$