How to find cylinder dimensions from volume and aspect ratio?

Okay, so basically what I'm trying to figure out is how to find the dimensions (length and diameter) of a cylinder when I know the volume and the ratio of length to diameter (for instance, a cylinder x times longer than it is wide). Unfortunately, I haven't been able to figure out how to do so on my own and google hasn't exactly been helpful. I'm quite stumped, so I would greatly appreciate any help. :)

Re: How to find cylinder dimensions from volume and aspect ratio?

I have a similar problem. Diameter=height, Volume = 50m^3

so... r=D2 and h=D

V=pi*h*r^2

V=pi*D*(D/2)^2

V/pi=D*(D/2)^2

PEMDAS is confusing me, can I...

V/pi=D*(D/2)*(D/2)

V/pi=D^3 / 4

?

Re: How to find cylinder dimensions from volume and aspect ratio?

Quote:

Originally Posted by

**mstngofire** I have a similar problem. Diameter=height, Volume = 50m^3

so... r=D2 and h=D

V=pi*h*r^2

V=pi*D*(D/2)^2

V/pi=D*(D/2)^2

PEMDAS is confusing me, can I...

V/pi=D*(D/2)*(D/2)

V/pi=D^3 / 4

?

$d^3 = \dfrac{4V}{\pi}$

$d = \sqrt[3]{\dfrac{4V}{\pi}}$