# Thread: Math problem need help !!!

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we have 2 honey holding tanks I'm trying
to figure out how many pounds per one inch
each one holds

Tank (A) size 21" diameter X 25" high

Tank (B) size 26" diameter X 31" high

We thank you for your Help

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http://www.aaaknow.com/exp79_x5.htm

7.481 gallons per cubic foot.

14 lbs per gallon I thinks.

That's all I know.

I'm guessing A= about 2.81 lbs/inch @14 lbs/gal
B=4.34 lbs/inch @14 lbs/gal

[size="1"][ December 12, 2005, 05:42 PM: Message edited by: coyote ][/size]

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[size="1"][ December 12, 2005, 06:34 PM: Message edited by: drobbins ][/size]

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Isn't honey about 12lb per gallon? (of course varying a bit depending on moisture content, variety, etc.)

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Yeah, I think it's closer to 12 lbs. (I have fat honey.)

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Here in New Brunswick (Canada) I put up my honey in 3.78 liter jugs and they weigh 11.1 pounds

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OK, now I'm going with 2.4 lbs/inch on "A" and
3.68 lbs/inch on "B" using 12lbs/gal.

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for 21" it's
3.1416 x 10.5 x 10.5 = 346 square inches
times an inch deep is 346 cubic inches/inch
divide by 231 cubic inches/gallon = 1.5 gallons/inch
times 12 lbs/gallon = 18 lbs/inch

[size="1"][ December 12, 2005, 07:12 PM: Message edited by: drobbins ][/size]

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&gt;OK, now I'm going with 2.4 lbs/inch on "A" and
3.68 lbs/inch on "B" using 12lbs/gal.

Coyote, I don't concur any more. My numbers agreed with yours, but I got cubic feet mixed up with gallons. For the 21" diameter tank:

10.5 squared * Pi * 25 = 8659 cubic inches or 8659 / 1728 = 5.01 cubic feet

1 gallon of water weighs 8.34 pounds
1 cubic foot contains 7.48 gallons (62.4/8.34)
5.01 * 7.48 = 39.47 gallons
39.47 gallons honey = 473.64 pounds (12#/gal)
469#/25" = 18.95 pounds/inch

Oh my. Is it right yet?

George-

[size="1"][ December 12, 2005, 07:06 PM: Message edited by: George Fergusson ][/size]

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Ha ha! I am glad you did not have a conical tank with honey flowing in the top at "rate A" and out the bottom at "rate B" - I would have had a terrible set of flashbacks to freshman calculus class!

Charles

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you gotta show your work to get full credit [img]smile.gif[/img]

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George
I modified my equations to account for the fact that area and circumference are not the same thing
I approached it differently but got a similar answer as you
good thing we aren't designing Mars probes [img]smile.gif[/img]

Dave

[size="1"][ December 12, 2005, 07:25 PM: Message edited by: drobbins ][/size]

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&gt;I approached it differently but got a similar answer as you
&gt;good thing we aren't designing Mars probes

Good Thing. Phew! I didn't think it passed the straight faced test the first time.. but my numbers agreed with coyote's.. then I didn't trust my second set of numbers... but a cubic foot of water weighs 62.4 pounds, a cubic foot of honey is going to weigh 89.76 pounds. I just calc'd up a 5 gallon bucket here with honey in it... must be right.

For the other bigger tank:

26" diameter = 13" radius = 13*13*Pi = 530.93 * 31 = 16458.79 cubic inches / 1728 cubic inches per cubic foot = 9.524 cubic feet.

9.524 cubic feet @ 7.48 gal/cubic foot = 71.245 gallons * 12 pounds per gallon = 854.94 pounds.. divided by 31" tall = 27.579 pounds per inch of tank.

Will this be on our test on friday?

George-

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Oh my. Is it right yet?
Eh, I gotta go to a "winter" concert. Used to be a Christmas concert, but that'll have to wait. In the meantime, some 6th grader is gonna solve this. I'll look at his/her answer when I return later tonight and find my errors.

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Oh good lord, *WHY* didn't we switch to metric!!

"my car gets 500 rods to the hodshead and that's the way I like it!"....grampa Simpson

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Area is Pi times the radius squared. Volume is Pi times the radius squared times the height.

So, 21 inches diameter is 10.5 inches radius.

10.5 times 10.5 is 110.25 inches

Pi is 22/7, so Pi x 1102.5 = 346.5

346.5 x 25 = 8662.5 cubic inches

There are 5 cubic feet in 8662 (rounding to two decimals) inches.

There are 37.4 gallons in 5 cubic feet.

37 gallons x 12 pounds per gallon give you 444 pounds in the first container.

So with the variables like wall thickness, air bubbles etc you could probably figure on 35 gallons or so. And no, I didn't check the math.

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you guy's are doing it the hard way
he want's to know how much honey is in 1 inch of a tank of a given size
the diameter is in inches
1 inch deep
do it in cubic inches
the total depth of the tank is irrelevent
you're just adding steps by figuring the volume of the whole tank and converting to cubic feet

Dave

like I said
"it's a good thing we ain't designing space probes, we'd have crashed into the sun long ago"

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&gt;do it in cubic inches

But what does a cubic inch of honey weigh? All I know is honey is 12 pounds per gallon.. to get cubic inches from gallons, it makes sense to go to cubic feet. It turns out a cubic inch of honey weighs 0.05194 pounds.

0.5194 * 530.94 sq in. = 27.578 poinds for an inch of honey in the big tank. Same answer [img]smile.gif[/img]

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no more excuses [img]smile.gif[/img]
http://www.onlineconversion.com/

Dave

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Y'all ever watch Keystone cops?

Hawk

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