Formula to find the height of a cylinder when the volume and diameter are given?

Answer 1

First you have to know that the [ Volume of a cylinder = (pi) x (radius)2 x (height) ].

Then you just massage that formula around to solve it for the height.

Thusly:

Volume = (pi) x (1/2 diameter)2 x (height)

Multiply each side by 'height' :

(Volume) x (height) = (pi) x (1/2 diameter)2

Divide each side by 'volume' :

Height = (pi) x (1/2 diameter)2/(volume) .

And there you have it ... you know all of the items on the right side.