GATE (GA) Textile 2022 Question Paper Solution | GATE/2022/GA/02

Question 2 (General Aptitude)

A sphere of radius r cm is packed in a box of cubical shape.
What should be the minimum volume (in cm3) of the box that can enclose the sphere ?

Gate Textile Solution 2022
[Show Answer]

The description given in the question is drawn in the image above.
Radius of the sphere = r
as the sphere is touching the both sides of cube so the side of side of the cube will be 2r.
Volume of cube = (side of cube)3
= (2r)3
= 8r3

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