The GATE Grind

GATE 2019 MT – Question 3

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

The radius and height of a circular cone each increase by 10%. What is the percentage increase in volume?

  1. 17.1
  2. 21.0
  3. 33.1
  4. 72.8

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (C) 33.1

Explanation

Cone volume is $V=\pi r^2h/3$. Increasing both dimensions by a factor 1.1 gives $V_{new}/V=(1.1)^2(1.1)=1.331$. Therefore the percentage increase is 100(1.331−1) = 33.1%, C.

More Quantitative Aptitude: Algebra, Geometry and Mensuration questions

All Quantitative Aptitude: Algebra, Geometry and Mensuration questions →