Mensuration Practice Test 7

Question : 26 of 40

Marks: +1, -0

The volume of two cones are in the ratio of 5 : 1 and their heights are in the ratio of 5 : 4. Find the ratio of their radii.

Solution:

Let the heights of both the cones = 5 h and 4 h and its radii be R and r.

{\Volume \of \the 1 \st \cone}/{\Volume \of \the 2 \nd \cone}

{1/3 πR^2(5h)}/{1/3 πr^2(4h)}

5/1

R^2/r^2 × 5/4

So, required ratio = 2 : 1

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