SSC CHSL 2022 PYQ — Question 65

The correct answer is option 1 i.e. 11:9

Concept Used :

$Volume of cone = {1 \over 3}\pi r^2 h$

Let the radii of two cones be 3x and 4x respectively and heights of the cones be h1 and h2 respectively.

Given that the ration of the volumes of two cones is 11 : 16

So, 1/3 × 22/7 × 9x² × h1 : 1/3 × 22/7 × 16x² × h2 = 11 : 16

h1 : h2 = 11 × 16 : 16 × 9

h1 : h2 = 11 : 9.

Hence the ratio of heights of two cones is 11: 9.