Subject: if the equation to find the height of a mushroom cloud from a nuclear bomb?

i have been doing a research paper on the misconceptions about nuclear bomb's, i 
have been able to find the formula for how to find the height of a nuclear cloud 
based of the size of the bomb in Kilotons but i have been unable to figure out 
how to reverse that successfully in order to find the size of the bomb based of 
the height of the cloud. i would greatly appreciate any help and an example of 
it working both ways to come out with the same answer. this is purely for 
curiosity sake and just in case someone asks me this while presenting my paper.

Re: if the equation to find the height of a mushroom cloud from a nuclear bomb?