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GATE 2021 ST – Question 8

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

A square sheet of side 1 is cut along a main diagonal. One resulting triangle is revolved about its short edge to make a solid cone. Find its volume in cubic units.

  1. π/3
  2. 2π/3
  3. 3π/2
  4. 3π

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Show answer and explanation

Correct answer: (A) π/3

Explanation

The triangle is right isosceles with legs 1. Revolving around one leg gives a cone of height 1 and radius 1. Volume=πr²h/3=**π/3, A**.

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