GATE 2021 ES – 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.

$\pi/3$
$2\pi/3$
$3\pi/2$
$3\pi$

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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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