Question

The radii of two cones are in the ratio 2 : 1 and their volumes are equal. What is the ratio of their heights?

Answer 1

Let the radius of the first cone = 2x

And height of the first cone = h₁

Then,

The radius of the second cone = x

Height of the second cone = h₂

Then,

Since,

The volumes of the two cones are equal.

Or