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Question

A solid ball is exactly fitted inside the cuboidal box of side a. The volume of the ball is _________.

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Solution

If a solid ball is exactly fitted inside the cuboidal box, then the diameter of the ball is equal to the side of the cuboidal box.

Let the radius of the ball be r units.

2r=ar=a2

Volume of the ball = =43πr3=43πa23=16πa3

A solid ball is exactly fitted inside the cuboidal box of side a. The volume of the ball is 16πa3 .

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