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