Formula for Diameter of Cylinder Using Height/Volume.

  • Thread starter Jordin
  • Start date
1
0

Main Question or Discussion Point

I need the formula for finding the Diameter of a Cylinder using it's Volume and Height.

Thanks!

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?
 
Last edited:

Answers and Replies

Gib Z
Homework Helper
3,344
4
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
Homework Helper
3,344
4
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.
 
#38
2
0
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
 
#38
2
0
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
 
Last edited:
HallsofIvy
Science Advisor
Homework Helper
41,738
898
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].
 

Related Threads for: Formula for Diameter of Cylinder Using Height/Volume.

Replies
8
Views
6K
  • Last Post
Replies
2
Views
61K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
6
Views
9K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
7
Views
26K
Replies
1
Views
6K
Replies
4
Views
1K
Top