GATE 2017 CE (CE1) – Question 4

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

If the radius of a right circular cone increases by 50%, its volume increases by

75%
100%
125%
237.5%

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (C) 125%

Explanation

With height unchanged, $V=\pi r^2h/3$. The new radius is $1.5r$, so the new volume is $1.5^2V=2.25V$. The increase is $(2.25-1)100=125\%$, option C. Holding height fixed is the implicit assumption when only the radius is changed.

More Quantitative Aptitude: Algebra, Geometry and Mensuration questions

GATE 2017 ME (ME1) Q3 – A right circular cone of base radius 5 cm and height 12 cm is rolled on the ground while…
GATE 2017 ME (ME1) Q8 – Let S 1 consist of (x,y) satisfying x-1 2, y+2 3. Let S 2 satisfy x-y-2, y1, x3. Find the…
GATE 2025 CS (CS1) Q7 – In the diagram, the lines QR and ST are parallel to each other. The shortest distance…
GATE 2025 CS (CS2) Q3 – If Pex = Qe-x for all real values of x, which one of the following statements is true?
GATE 2025 CS (CS2) Q9 – In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L…
GATE 2024 CS (CS1) Q2 – If two distinct non-zero real variables x and y are such that (x+y) is proportional to…

All Quantitative Aptitude: Algebra, Geometry and Mensuration questions →