Home › Previous year questions › GATE 2021 PI › Question 8GATE 2021 PI – Question 8 General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice
A square sheet of side 1 unit is cut along its main diagonal. One resulting triangle is revolved about a short edge to form a solid cone. Find cone volume in cubic units.
$\pi/3$ $2\pi/3$ $3\pi/2$ $3\pi$ Practise this question in The GATE Grind →
Show answer and explanation Correct answer: (A) $\pi/3$
Explanation The triangle is right-isosceles with legs 1. Revolving about one leg makes cone height 1 and base radius 1. Thus $V=\pi r^2h/3=\mathbf{\pi/3}$, **A**.
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