

09202006, 04:31 PM

#1

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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.
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09202006, 04:37 PM

#2

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09202006, 04:39 PM

#3

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my brain hurts now, thanks
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09202006, 04:56 PM

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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.
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09202006, 04:57 PM

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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?
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09202006, 05:24 PM

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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.
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09202006, 05:24 PM

#7

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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
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09202006, 05:42 PM

#8

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25x25x3.14=1962.5
That's ml which=1.962l/cm height of the vessel.
Salizar's numbers check out.
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09202006, 05:59 PM

#9

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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?
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09202006, 06:14 PM

#10

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