## Math is hard, I need help

Little or nothing to do with distillation.

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Deplorable
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Posts: 613
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Location: PNW

### Math is hard, I need help

I want to make a stencil with my vinyl cutter and electro etch the inisde of my boiler with gallon marks, but I need some math help from some of you smarter folks on here.
My boiler is marketed as 13 gallons.
Its radius is 43.5" and the height from the flat bottom to the top of the straight walls in 19".
My math says this:

When Tank                  Then Tank
Depth Equals                Volume Equals
0.00    Inches   = = =   0.00  U S gallons
1.00    Inches   = = =   0.65219  U S gallons
2.00    Inches   = = =   1.3044  U S gallons
3.00    Inches   = = =   1.9566  U S gallons
4.00    Inches   = = =   2.6088  U S gallons
5.00    Inches   = = =   3.261  U S gallons
6.00    Inches   = = =   3.9132  U S gallons
7.00    Inches   = = =   4.5654  U S gallons
8.00    Inches   = = =   5.2176  U S gallons
9.00    Inches   = = =   5.8698  U S gallons
10.00    Inches   = = =   6.5219  U S gallons
11.00    Inches   = = =   7.1741  U S gallons
12.00    Inches   = = =   7.8263  U S gallons
13.00    Inches   = = =   8.4785  U S gallons
14.00    Inches   = = =   9.1307  U S gallons
15.00    Inches   = = =   9.7829  U S gallons
16.00    Inches   = = =   10.435  U S gallons
17.00    Inches   = = =   11.087  U S gallons
18.00    Inches   = = =   11.74  U S gallons
19.00    Inches   = = =   12.392  U S gallons

Is this math correct? Or did I bugger it up.
Use all your senses, and its not that hard. You just have to pay attention.

Saltbush Bill
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Posts: 4155
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Location: Northern NSW Australia

### Re: Math is hard, I need help

Try this, I use it or similar for marking large ferment tanks / containers for different size washes.
https://www.calculatorsoup.com/calculat ... n/tank.php

jonnys_spirit
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### Re: Math is hard, I need help

I’d guess that diameter is 19” and height is 43.5”. Does that change the math tho?
————
i make stuff i break stuff
water into whiskey into water
just getting started in home distilling - been drinking for decades
16g copper pot still, 10l alembic, and a column or two
————

cob
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### Re: Math is hard, I need help

+1 what jonnys_spirit said. you could pour in a gallon at a time and measure the levels,

you will soon come up with an inch measurement for a gallon or multiples in your cylinder.

use a wood stick an be quick you will be accurate enough. it's called "sticking the tank"
be water my friend

Deplorable
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Posts: 613
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Location: PNW

### Re: Math is hard, I need help

Saltbush Bill wrote:
Tue Oct 27, 2020 4:47 pm
Try this, I use it or similar for marking large ferment tanks / containers for different size washes.
https://www.calculatorsoup.com/calculat ... n/tank.php
Using that my math is sound and my gallon marks would be about 1.6 inches on center.
Use all your senses, and its not that hard. You just have to pay attention.

Saltbush Bill
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Joined: Thu Mar 17, 2011 2:13 am
Location: Northern NSW Australia

### Re: Math is hard, I need help

Glad it was useful, Ive used it many times , I keep finding stainless vessels that can be used for storage , ferments or other distilling purposes, it makes finding the volume of most containers or marking volumes on containers simple.

The Baker
Master Distiller
Posts: 3157
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Location: Northern Victoria, Australia

### Re: Math is hard, I need help

Yeah, I use the stick.

For fermenters too.

Geoff
The Baker

zapata
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Joined: Fri Jul 07, 2017 1:06 pm

### Re: Math is hard, I need help

I'd at least use the stick to gauge the tank then print / etch / whatever the tank based on the stick. I love math, but why math volume instead of measuring volume? What if it's not perfectly round? Or there's a 20 ml dent on one side? Personally I'd measure the actual volume of the container if you're gonna mark it.

Get stick. Add 1 gallon. Dip stick, notch where wet. Repeat until full. Use stick until you get around to the etching.

Berserk
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### Re: Math is hard, I need help

I think your measurements are off if your boiler is 13 gallons.

If the radius is 43.5" and the height 19" you've got yourself a ~450 gallon still. In that case the 1 gallon line will be 0.04" above the boiler bottom.

My initial thought was that it's the height that's 43.5" and the 19" actually is the diameter, but even then you get a 53 gallon boiler. If that is indeed the case the gallon line is 0.8".

If the gallon line is 1.6" above the boiler bottom in your 13 gallon boiler you've got a radius of ~6.8", and a height of 21".

Good thing that the calculator was of help to you, because I'm not sure if any of my calculations above will be. Doing calculations in freedom units is hard.

Cheers,
Berserk
Cheers,
Berserk

30 liter keg with 2.4kW heating element, 51mm/2" 1m lava rock CM.

Saltbush Bill
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Location: Northern NSW Australia

### Re: Math is hard, I need help

Radius , Diameter and Circumference are all different .....be sure to enter the right values.

jonnys_spirit
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### Re: Math is hard, I need help

If you use a gallon jug to to fill and mark the boiler where on the jug is the accurate 1g mark? Top of the lip? Shoulder?

Cheers!
Jonny
————
i make stuff i break stuff
water into whiskey into water
just getting started in home distilling - been drinking for decades
16g copper pot still, 10l alembic, and a column or two
————

Rrmuf
Bootlegger
Posts: 115
Joined: Tue Jun 09, 2020 3:07 pm

### Re: Math is hard, I need help

Deplorable wrote:
Tue Oct 27, 2020 4:38 pm
I want to make a stencil with my vinyl cutter and electro etch the inisde of my boiler with gallon marks, but I need some math help from some of you smarter folks on here.
My boiler is marketed as 13 gallons.
Still.jpg

Its radius is 43.5" and the height from the flat bottom to the top of the straight walls in 19".
My math says this:

When Tank                  Then Tank
Depth Equals                Volume Equals
0.00    Inches   = = =   0.00  U S gallons
1.00    Inches   = = =   0.65219  U S gallons
2.00    Inches   = = =   1.3044  U S gallons
3.00    Inches   = = =   1.9566  U S gallons
4.00    Inches   = = =   2.6088  U S gallons
5.00    Inches   = = =   3.261  U S gallons
6.00    Inches   = = =   3.9132  U S gallons
7.00    Inches   = = =   4.5654  U S gallons
8.00    Inches   = = =   5.2176  U S gallons
9.00    Inches   = = =   5.8698  U S gallons
10.00    Inches   = = =   6.5219  U S gallons
11.00    Inches   = = =   7.1741  U S gallons
12.00    Inches   = = =   7.8263  U S gallons
13.00    Inches   = = =   8.4785  U S gallons
14.00    Inches   = = =   9.1307  U S gallons
15.00    Inches   = = =   9.7829  U S gallons
16.00    Inches   = = =   10.435  U S gallons
17.00    Inches   = = =   11.087  U S gallons
18.00    Inches   = = =   11.74  U S gallons
19.00    Inches   = = =   12.392  U S gallons

Is this math correct? Or did I bugger it up.
Dude, Screw the math: Start with empty boiler. Measure out 1 US Gallon, add to boiler and make the mark. Repeat until you are done.
-- Rrmuf

still_stirrin
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### Re: Math is hard, I need help

43.5 inches must be the circumference, not the “radius” as you’ve said.

A 43.5” circumference is a (C = pi x D) —> D = 43.5 / pi = 13.846 inch diameter. (hint, “pi” is 3.1415926....)

A cylinder’s volume is the area of the tank’s diameter (A = pi x D x D / 4) times the height (H).

So, the volume of your tank at 10” deep is V = A x H = (pi x 13.846 x 13.846 / 4) x 10 = 1505.7 cubic inches.

And 1 gallon is 231 cubic inches. So, at 10” depth, the tank is 1505.7 / 231 = 6.518 gallons, which confirms your initial calculations.

I’ve given you the formulas and an example, hopefully to help you understand the math.
ss
Attention new distillers: Cranky's spoon feed info
My LM/VM & Potstill: My build thread
My 5-grain Bourbon recipe: Special K

Durhommer
Distiller
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### Re: Math is hard, I need help

Nice boiler
You have two ears and one mouth for a reason....

LWTCS
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Location: North Palm Beach

### Re: Math is hard, I need help

I'm with cob. I'd "stick" it a gallon at a time. At least to get past the bottom.
Can use the lid as your bench mark.

Do it 8.35 lbs at a time.
Trample the injured and hurdle the dead.

Yummyrum
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### Re: Math is hard, I need help

LWTCS wrote:
Wed Oct 28, 2020 3:38 am

Do it 8.35 lbs at a time.
Smart man Larry love it .

I’ve always poured in a Litre at a time and marked it . ....but...
Sticking it on the scales and adding a kg of water ( @20°C ) at a time makes a lot if sense . ... no incremental errors .

LWTCS
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Location: North Palm Beach

### Re: Math is hard, I need help

Yummyrum wrote:
Wed Oct 28, 2020 4:14 am
LWTCS wrote:
Wed Oct 28, 2020 3:38 am

Do it 8.35 lbs at a time.
Smart man Larry love it .

I’ve always poured in a Litre at a time and marked it . ....but...
Sticking it on the scales and adding a kg of water ( @20°C ) at a time makes a lot if sense . ... no incremental errors .
Many distilleries that dont have whoopdeedoo flow metering do liquid transfer according to weight.
Trample the injured and hurdle the dead.

Bushman
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Location: Pacific Northwest

### Re: Math is hard, I need help

Saltbush Bill wrote:
Tue Oct 27, 2020 4:47 pm
Try this, I use it or similar for marking large ferment tanks / containers for different size washes.
https://www.calculatorsoup.com/calculat ... n/tank.php
Make sure when you open the link you change from horizontal to vertical when doing the calculations with this link.

Oldvine Zin
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Location: Pacific Northwest

### Re: Math is hard, I need help

Deplorable wrote:
Tue Oct 27, 2020 4:38 pm
I want to make a stencil with my vinyl cutter and electro etch the inisde of my boiler with gallon marks, but I need some math help from some of you smarter folks on here.
My boiler is marketed as 13 gallons.
Still.jpg

Its radius is 43.5" and the height from the flat bottom to the top of the straight walls in 19".
My math says this:

When Tank                  Then Tank
Depth Equals                Volume Equals
0.00    Inches   = = =   0.00  U S gallons
1.00    Inches   = = =   0.65219  U S gallons
2.00    Inches   = = =   1.3044  U S gallons
3.00    Inches   = = =   1.9566  U S gallons
4.00    Inches   = = =   2.6088  U S gallons
5.00    Inches   = = =   3.261  U S gallons
6.00    Inches   = = =   3.9132  U S gallons
7.00    Inches   = = =   4.5654  U S gallons
8.00    Inches   = = =   5.2176  U S gallons
9.00    Inches   = = =   5.8698  U S gallons
10.00    Inches   = = =   6.5219  U S gallons
11.00    Inches   = = =   7.1741  U S gallons
12.00    Inches   = = =   7.8263  U S gallons
13.00    Inches   = = =   8.4785  U S gallons
14.00    Inches   = = =   9.1307  U S gallons
15.00    Inches   = = =   9.7829  U S gallons
16.00    Inches   = = =   10.435  U S gallons
17.00    Inches   = = =   11.087  U S gallons
18.00    Inches   = = =   11.74  U S gallons
19.00    Inches   = = =   12.392  U S gallons

Is this math correct? Or did I bugger it up.
But why??

Stay safe
OVV

The Baker
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Joined: Sun Aug 27, 2006 4:48 am
Location: Northern Victoria, Australia

### Re: Math is hard, I need help

I still like the graduated stick.

Geoff
The Baker

Deplorable
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Location: PNW

### Re: Math is hard, I need help

Well, currently I fill my boiler with measured amounts of water to heat for mashing. Filling from the hose to a line in the boiler is easier than filling a vessel of known capacity and dumping it in and repeating. It also comes in handy if you're pumping from the fermenter into the boiler to know how nuch you've taken, and whats left.
Use all your senses, and its not that hard. You just have to pay attention.

The Baker
Master Distiller
Posts: 3157
Joined: Sun Aug 27, 2006 4:48 am
Location: Northern Victoria, Australia

### Re: Math is hard, I need help

Yep.
My graduated stick IS the 'line in the fermenter/ boiler/ whatever.'
A 'dedicated' stick for the vessel.

Geoff
The Baker

Deplorable
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Location: PNW

### Re: Math is hard, I need help

I reckon a stick is fine if you cant see the sides of your boiler through the top opening. But why hold on to a dedicated stick when you can apply permanent marking to the vessel and be done with it? I tend to misplace things. I cant misplace graduated lines.
Use all your senses, and its not that hard. You just have to pay attention.

GabrielLeo
Novice
Posts: 5
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### Re: Math is hard, I need help

Deplorable wrote:
Tue Oct 27, 2020 4:38 pm
I want to make a stencil with my top vinyl cutters and electro etch the inisde of my boiler with gallon marks, but I need some math help from some of you smarter folks on here.
My boiler is marketed as 13 gallons.
Still.jpg

Its radius is 43.5" and the height from the flat bottom to the top of the straight walls in 19".
My math says this:

When Tank                  Then Tank
Depth Equals                Volume Equals
0.00    Inches   = = =   0.00  U S gallons
1.00    Inches   = = =   0.65219  U S gallons
2.00    Inches   = = =   1.3044  U S gallons
3.00    Inches   = = =   1.9566  U S gallons
4.00    Inches   = = =   2.6088  U S gallons
5.00    Inches   = = =   3.261  U S gallons
6.00    Inches   = = =   3.9132  U S gallons
7.00    Inches   = = =   4.5654  U S gallons
8.00    Inches   = = =   5.2176  U S gallons
9.00    Inches   = = =   5.8698  U S gallons
10.00    Inches   = = =   6.5219  U S gallons
11.00    Inches   = = =   7.1741  U S gallons
12.00    Inches   = = =   7.8263  U S gallons
13.00    Inches   = = =   8.4785  U S gallons
14.00    Inches   = = =   9.1307  U S gallons
15.00    Inches   = = =   9.7829  U S gallons
16.00    Inches   = = =   10.435  U S gallons
17.00    Inches   = = =   11.087  U S gallons
18.00    Inches   = = =   11.74  U S gallons
19.00    Inches   = = =   12.392  U S gallons

Is this math correct? Or did I bugger it up.
I've heard good things about the cricut too, i think they're pretty similar machines in terms of cost and capabilities so just check out YouTube reviews, there are tons of head to head comps there and see what works for you. I think both are restricted to 12" widths but the cricut is limited to 24" length where as i think the silhouette can do significantly longer IIRC
Last edited by GabrielLeo on Wed Nov 04, 2020 6:49 am, edited 1 time in total.

Deplorable
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Posts: 613
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Location: PNW

### Re: Math is hard, I need help

I have a silhouette and a large format 30 inch vinyl plotter.
Use all your senses, and its not that hard. You just have to pay attention.