GATE 2022 PI – Question 2
General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice
A sphere of radius r cm is packed in a cubical box. What is the minimum box volume in cm³?
- $r^3/8$
- $r^3$
- $2r^3$
- $8r^3$
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Show answer and explanation
Correct answer: (D) $8r^3$
Explanation
The shortest cube side enclosing the sphere equals its diameter 2r. Thus minimum volume is $(2r)^3=\mathbf{8r^3}$, **D**.
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