Mensuration Practice Test 11

Question : 3 of 6

Marks: +1, -0

If radii of two cones are in the ratio of 3 : 2 and their volumes are equal, then find the ratio of their heights.

2 : 3
1 : 5
4 : 9
3 : 2

Solution:

Let the radius of the 1st cone = 3x
The radius of the 2nd cone = 2x
Volume of both the cones is equal
Let the height of the first cone = H
Height of the 2nd cone = h
Volume of the cone =

1/3 πr^2h

9x^2H

4x^2h

9H = 4h

H/h

4/9

Ratio of height = 4 : 9

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