GATE 2022 AG – 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?
- $r^3/8$
- $r^3$
- $2r^3$
- $8r^3$
Practise this question in The GATE Grind →
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**.
More Quantitative Aptitude: Algebra, Geometry and Mensuration questions
- GATE 2022 AG Q8 – Given 3p-q<4 and 3q-p<12, which expression follows?
- GATE 2021 AG Q3 – Find the interior angle of a regular10-sided polygon in degrees.
- GATE 2021 AG Q4 – Which number is exactly divisible by 1113+1?
- GATE 2026 ES Q10 – Three externally tangent circles C 1,C 2,C 3 have centers O 1,O 2,O 3 and radii r 1=2 cm,r…
- GATE 2025 ES Q5 – A rectangle has a length L and a width W, where L > W. If the width, W, is increased by…
- GATE 2025 ES Q8 – A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as…
All Quantitative Aptitude: Algebra, Geometry and Mensuration questions →