volume

Let the radius of the cylinder = radius of the cone =r

Since on immersing the cone in the water, 1,4 th of the volume of water flows out, so it means that the volume of the cone = 1/4 th of the volume of water in the completely filled cylinder.

So ler height of the cone=h

 and

 height of the cylinder =H

So,

So, the required answer is

H/h=4/3 or

 ratio of heights of the cylinder and cone is 4:3