Register to reply

Formula for Diameter of Cylinder Using Height/Volume.

Share this thread:
Mar22-08, 01:03 AM
P: 1
I need the formula for finding the Diameter of a Cylinder using it's Volume and Height.


Here is the problem. Find Diameter of Cylinder.
Volume = 1256.64
Height = 16 Inches
Diameter = ?

On my own...

Knowing Volume = (Pi x Diameter Squared x Height) Divide by 4

I came up with this forumla for D?

D = Square Root of (4V/H/Pi)

Plugging in the numbers.... D = 10 Inches?

Is there an easier forumla?
Phys.Org News Partner Mathematics news on
Math journal puts Rauzy fractcal image on the cover
Heat distributions help researchers to understand curved space
Professor quantifies how 'one thing leads to another'
Gib Z
Mar22-08, 01:12 AM
HW Helper
Gib Z's Avatar
P: 3,348
Well, what is the Cylinders volume is given by the product of the base circles area and its height. What is the circles area given by, in terms of the radius? How are the radius and diameter related?

PS: Welcome to Physics forums!! =]
Gib Z
Mar22-08, 02:15 AM
HW Helper
Gib Z's Avatar
P: 3,348
Well you that right, [tex]D= \sqrt{ \frac{4V}{h\pi}}[/tex]. Easiest formula there is lol. Would look nicer in terms of the radius though.

Mar7-10, 01:57 PM
P: 2
Formula for Diameter of Cylinder Using Height/Volume.

I know this thread is old but it is the only one I could find that is most relevant to my problem.

Can you explain it in terms of the radius?

I am trying to figure out the same type of problem and am horrid with roots.
I need to find the diameter given H=10m and V=125.6m cubed
Mar7-10, 02:29 PM
P: 2
Here is the formula I used to figured it but I think it is wrong.
(I don't know how to do all the fancy stuff so I will just type it out.)

v/h over Pi=r squared

Edit: I think I got it figured now

New formula I am using is v/h*Pi= r squared
Find the square root of r squared then multiply * 2 for the diameter
Mar8-10, 09:06 AM
Sci Advisor
PF Gold
P: 39,682
The volume of a cylinder of height h and radius r is [itex]V= \pi r^2h[/itex].
To solve that for the radius, divide both sides by [itex]\pi h[/itex] 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 [itex]\sqrt{4}= 2[/itex].

Register to reply

Related Discussions
Hieght of a volume in a cylinder on its side, with known volume. Precalculus Mathematics Homework 2
Quick easy question..Formula for angular diameter? Astronomy & Astrophysics 2
Cylinder problem:restriction on the height if the radious... Precalculus Mathematics Homework 4
Formula for diameter of a circle General Math 2
Simple Question: Volume -> Diameter General Math 7