Math problem
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Thread: Math problem

  1. #1
    Join Date
    Apr 2017
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    Baltimore, Maryland
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    Default 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.

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  3. #2
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    Rader, Greene County, Tennessee, USA
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    Default 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:
    https://www.google.com/search?q=cyli...hrome&ie=UTF-8

    ...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.

    .
    Last edited by Rader Sidetrack; 02-13-2018 at 10:01 AM. Reason: show 'work'
    Graham
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  4. #3
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    Default 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
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  5. #4
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    Default 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
    "Drink deep, or taste not the Pierian spring:........" Alexander Pope 1709

  6. #5
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    Macon, GA USA
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    Default 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. #6
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    St. Michael, MN
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    Default 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. #7
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    Default Re: Math problem

    Quote Originally Posted by Gumpy View Post
    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.
    "Drink deep, or taste not the Pierian spring:........" Alexander Pope 1709

  9. #8
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    Richmond, Virginia
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    Default 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.
    Thankfully, the bees are smarter than I am. They are doing well, in spite of my efforts to help them.

  10. #9
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    Default 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.
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  11. #10
    Join Date
    Jul 2011
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    Richardson, TX, USA
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    Default Re: Math problem

    Quote Originally Posted by Beeman1951 View Post
    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. #11
    Join Date
    Mar 2016
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    St. Michael, MN
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    Default Re: Math problem

    never mind...

  13. #12
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    Jun 2014
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    Fargo, North Dakota
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    Default 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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