SSC CGL 2020 PYQ — Question 7

SSC CGL Tier II - Quant - 15 Nov 2020 • Quantitative Aptitude • Q7

The radii of two right circular cylinders are in the ratio 3 : 2 and the ratio of their volumes is 27 : 16. What is the ratio of their heights?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 3 : 4

Let the radius of cylinders = 3x and 2x

Let the height of cylinders = h1 and h2

We know that, volume of cylinder = πr2h

Putting the values of r in the formula

π(3x)2h1/π(2x)2h2 = 27 : 16

h1/h2 = 3:4