# Formula for Diameter of Cylinder Using Height/Volume.

 HW Helper P: 3,352 Well you that right, $$D= \sqrt{ \frac{4V}{h\pi}}$$. Easiest formula there is lol. Would look nicer in terms of the radius though.
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,363 The volume of a cylinder of height h and radius r is $V= \pi r^2h$. To solve that for the radius, divide both sides by $\pi h$ and take the square root: [tex]r= \sqrt{\frac{V}{\pi h}[/itex] The diameter is twice the radius, of course, so [tex]d= 2\sqrt{\frac{V}{\pi h}= \sqrt{4V}{\pi h}[/itex] because $\sqrt{4}= 2$.