Write ‘True’ or ‘False’ and justify your answer:A solid ball i

1.	Write ‘True’ or ‘False’ and justify your answer:A solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is 4/3πa3.
Answer» 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 = 4/3πr³ Volume of ball = 4/3π(a/2)³ = 4/3π(a³/8) = 1/6πa³

Write ‘True’ or ‘False’ and justify your answer:A solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is 4/3πa3.

Answer»

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 = 4/3πr³

Volume of ball = 4/3π(a/2)³ = 4/3π(a³/8) = 1/6πa³