Question

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

पर्याय

• True

• False

Answer 1

This statement is False.

Explanation:

Let the radius of sphere = r

When a solid ball is exactly fitted inside the cubical box of side a,

We get,

Diameter of ball = Edge length of cube

2r = a

Radius, r = `"a"/2`

We also know that,

Volume of sphere = `4/(3π"r"^3)`

Volume of ball = `4/3π("a"/2)^3`

= `4/3π("a"^3/8)`

= `1/6π"a"^3`