

09202006, 04:31 PM

#1

Beer, not rocket science
Feedback Score: 0 reviews
Join Date: Feb 2006
Location: Corrales, New Mexico
Posts: 4,580
Liked 33 Times on 28 Posts

Math Help Please!


Ok all you people who didn't sleep through math, I need some help.
I want the formula for figuring the METRIC height/depth required in a cylinder with a given diameter to hold particular ounces of water.
For example, how do I calculate how many milimeters of depth I need in a cylinder that is .5 meters across, to hold 64 ounces of fluid?
I want to be able to use a metric ruler as a volume guage for my mash tun. Basically, I want 10 gallons of water so that means I need to fill the tank to such and such a height.
Thanks in advance.
__________________
Before I learned to brew I was poor, sober and lonely. Now I am just poor.



09202006, 04:37 PM

#2

Will work for beer
Feedback Score: 0 reviews
Join Date: Jan 2005
Location: Knob Noster, Missouri
Posts: 8,842
Liked 76 Times on 66 Posts Likes Given: 9

I love lamp.
__________________
On Tap: Lake Walk Pale Ale  Eternity (Raspberry Stout)  Nutrocker  Donnybrook Dark
Primary: Lake Walk Pale Ale
Secondary: Summit IPA
Up Next: Smoked Porter  Pub Ale  Watermelon Wheat
Planning:
Gone But Not Forgotten:
www.IronOrrBrewery.com



09202006, 04:39 PM

#3

Feedback Score: 0 reviews
Join Date: Mar 2006
Location: Sierra Vista, AZ
Posts: 4,090
Liked 50 Times on 38 Posts Likes Given: 2

my brain hurts now, thanks
__________________
Desert Sky Brewing Co.
Sierra Vista, AZ



09202006, 04:56 PM

#4

Feedback Score: 0 reviews
Join Date: Jul 2006
Location: Eugene, Oregon
Posts: 8

So the best way to figure this out is to remeber that 1 ml = 1 gram = 1 cubic centimeter and 1 oz = 29.57 ml (from my calculator). First 64 oz. = 1892 ml or 1892 cubic centimeters. So the volume of the cylinder is equal to 1892 cubic centimeters and also equal to pi*radius^2 *height which is the equation for volume of a cylander. So going through the algebra steps 1892/pi * radius^2 should equal the required height (where radius is half of the distance across or 25 cm). I get .96 centimeters high so to get 64 oz. in your pot you will want to fill it up about 1 centimeter.



09202006, 04:57 PM

#5

Feedback Score: 0 reviews
Join Date: May 2005
Location: Castleton NY
Posts: 1,205
Liked 3 Times on 3 Posts

This may be simplistic but why can't you take 10 gals of water, pour it into the mash tun and measure the height? Are you going to build the tun and want to know how high to make it?
__________________
It is better to remain silent and be thought a fool, then to speak and remove all doubt.



09202006, 05:24 PM

#6

Feedback Score: 0 reviews
Join Date: Feb 2006
Posts: 32

Here is the general formula.
Height = (4*Volume)/(Pi*Diameter^2)
You have to convert your volume to cubic mililimeters and your diameter to millimeters before you start.
So for 10 gal and a .5 meter diameter
(4*37854118cmm)/(3.14*500mm^2) = 192mm
Someone might want to double check my numbers. Seems off, but I checked over and over again. Maybe I just can't visualize this. Or I made a stupid mistake.



09202006, 05:24 PM

#7

I prefer 23383
Feedback Score: 0 reviews
Join Date: Oct 2005
Location: Milwaukee, Wisconsin
Posts: 7,230
Liked 72 Times on 54 Posts Likes Given: 66

Quote:
Originally Posted by Salizar
So the best way to figure this out is to remeber that 1 ml = 1 gram = 1 cubic centimeter and 1 oz = 29.57 ml (from my calculator). First 64 oz. = 1892 ml or 1892 cubic centimeters. So the volume of the cylinder is equal to 1892 cubic centimeters and also equal to pi*radius^2 *height which is the equation for volume of a cylander. So going through the algebra steps 1892/pi * radius^2 should equal the required height (where radius is half of the distance across or 25 cm). I get .96 centimeters high so to get 64 oz. in your pot you will want to fill it up about 1 centimeter.

You sure your math is right? 1 centimeter = about .4 inches . . .seems awefully shallow
__________________
Quote:
Originally Posted by P.J. O'Rourke
"There are just two rules of governance in a free society: Mind your own business. Keep your hands to yourself."




09202006, 05:42 PM

#8

***DRAMATIZATION***
Feedback Score: 0 reviews
Join Date: Dec 2005
Location: Calgary
Posts: 3,274
Liked 10 Times on 10 Posts

25x25x3.14=1962.5
That's ml which=1.962l/cm height of the vessel.
Salizar's numbers check out.
__________________
Once the wind has been broken, it cannot be fixed.



09202006, 05:59 PM

#9

I prefer 23383
Feedback Score: 0 reviews
Join Date: Oct 2005
Location: Milwaukee, Wisconsin
Posts: 7,230
Liked 72 Times on 54 Posts Likes Given: 66

I knew there was a reason I failed algebra twice . . . I miss read the formula
Quote:
I want to be able to use a metric ruler as a volume guage for my mash tun. Basically, I want 10 gallons of water so that means I need to fill the tank to such and such a height

Why not just dump a half gallon in at a time and mark where it reaches until you get to what ever volume you think you'll need?
__________________
Quote:
Originally Posted by P.J. O'Rourke
"There are just two rules of governance in a free society: Mind your own business. Keep your hands to yourself."




09202006, 06:14 PM

#10

Beer, not rocket science
Feedback Score: 0 reviews
Join Date: Feb 2006
Location: Corrales, New Mexico
Posts: 4,580
Liked 33 Times on 28 Posts

The youth director at the church is a math wiz and so I asked her about this. She did her magic and made me a spreadsheet. So, I now have a really cool Excel spreadsheet that figures this out. It is set up so you enter the desired volume in US ounces, the cylinder's radius in either cm or mm (metric is easier to use, even tenths and all) and it will tell you the depth you need to obtain your volume.
This means that I can use a metric ruler as a gauge for brewing volumns. Say I have a known amount of liquid in my HLT and want 12 quarts into my mash tun. By using a metric ruler I can know what has been transferred.
Now, how do I post the calculator so others can share it?
__________________
Before I learned to brew I was poor, sober and lonely. Now I am just poor.



Similar Threads

Thread 
Thread Starter 
Forum 
Replies 
Last Post 
OG > FG = ABV Math

sAvAgE 
General Beer Discussion 
21 
12042009 06:46 AM 
Check my Hop Math

Logan 
Recipes/Ingredients 
1 
03032008 07:05 PM 
Math question

pherball 
Beginners Beer Brewing Forum 
6 
02222008 07:16 PM 
Math.

Orfy 
General Techniques 
8 
12072005 04:06 AM 


