Math problem

1. Join Date
Apr 2017
Location
Baltimore, Maryland
Posts
9

## Math problem

Can any one help us ?
we have a Round containor 21" round... and 25" high
we use this containor to store Honey in.
Honey weighs 12 lbs. per 1 gallon.
We would like to know how many gallons of honey
are there in 1 inch of measurements.

2.

3. Moderator
Join Date
Nov 2011
Location
Posts
10,416

## Re: Math problem

Assuming the 21" is the interior diameter of the container, each 'vertical' inch is approximately 1.5 gallons.

Here is how I came up with that:
The 21" diameter is 10.5" radius. Using this cylinder volume calculator:

...shows that the volume of a 1" vertical slice of that cylinder is 346.36 cubic inches. And using this cu. in. to gallons calculator:
http://www.kylesconverter.com/volume...s-(u.s.-fluid)

... results in 1.4978 gallons for that 1" (vertical) slice, which rounded is 1.5 gallons.

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Last edited by Rader Sidetrack; 02-13-2018 at 10:01 AM. Reason: show 'work'

4. ## Re: Math problem

21" "round" gives

6.6845 radius gives 140.375 cubic inches per inch of height

times 25 inches gives 3509 cubic inches divided by 231 cubic inches per gallon gives 15.19 gallons for your container

which means 1 gallon of honey per 1.646 inches

Unless you meant the container is 21" in diameter. calculation goes the same way

5. Join Date
Jun 2012
Location
Suffolk, NY, USA
Posts
3,321

## Re: Math problem

1.5 gallons per inch. about 18 lbs per inch.

the container will hold 37.48 gallons filled to the brim.

math:
v= 10.5x10.5x3.1416
=346.36
x25 inches
=8659 cubic inches
there are 231 cubic inches in a US gal.
so 8659/231= 37.48 gal
37.48/25= 1.5 gal per inch

6. Join Date
Apr 2004
Location
Macon, GA USA
Posts
1,025

## Re: Math problem

I also came up with 1.5 gallons per inch. If you're looking for pounds per inch - since you gave the 12 pounds per gallon figure - just multiply by 12 which is 18 pounds per inch. Not sure how accurate you want to be, but I would actually weigh a gallon of your honey to be sure (minus container weight). Mine comes out closer to 11 pounds than 12.

7. Join Date
Mar 2016
Location
St. Michael, MN
Posts
662

## Re: Math problem

Is 21" round diameter or circumference?

Formula for gallons: 3.14 x (radius in inches squared) x (height in inches) / 231

8. Join Date
Jun 2012
Location
Suffolk, NY, USA
Posts
3,321

## Re: Math problem

Originally Posted by Gumpy
Is 21" round diameter or circumference?

Formula for gallons: 3.14 x (radius in inches squared) x (height in inches) / 231
a 21" circumference would be a cylinder with a 6.6" diameter and 25" tall (OP's measurement of height)
more tube shaped.

9. ## Re: Math problem

Y'all are so caught up in circumference vs diameter that no-one has given thought to the fact the OP said they had a "round" container, not a cylindrical container. Could be bowl shaped.

10. ## Re: Math problem

It's been calculated both ways only the OP knows the answer to this riddle. At least no one has injected their math agenda yet.

11. Join Date
Jul 2011
Location
Richardson, TX, USA
Posts
378

## Re: Math problem

Originally Posted by Beeman1951
Can any one help us ?
we have a Round containor 21" round... and 25" high
we use this containor to store Honey in.
Honey weighs 12 lbs. per 1 gallon.
We would like to know how many gallons of honey
are there in 1 inch of measurements.
If the container is 21" around (this would be the circumference), the volume of the cylinder (object you described) would be approximately 3.8 gallons (.15 gallons per inch of height). If the contain has a 21" diameter (distance from one side to the other), the volume of the cylinder would be approximately 37.5 gallons (1.5 gallons per inch of height).

The formula for volume of cylinder is .............(radius times radius, also called radius squared) x (3.14159, also called pi) x (height of cylinder)

Diameter is the distance from one side of the cylinder to the other, measuring through the center. Diameter is also the circumference divided by pi (sometimes it hard to measure right though the center).
Circumference = pi x diameter
Radius = Diameter x .5 = half of diameter

12. Join Date
Mar 2016
Location
St. Michael, MN
Posts
662

## Re: Math problem

never mind...

13. Join Date
Jun 2014
Location
Fargo, North Dakota
Posts
168

## Re: Math problem

Thank you for a fifty-five (55) year confirmation of why not to get into a career requiring math - I probably could do the math with an “open book” and a computer/calculator, but life is too short to care what the answer is!

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