question for a math wiz? - Printable Version

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question for a math wiz? - e-paw - 03-09-2009

I was working on a diesel fueling platform today, eyeballing up the size of the storage tanks to look right for the project. I felt that 2 tanks for #2 oil were needed and 1 for lube oil would work out fine. I cut up some heavy card board cylinders to size, they will be covered by a styrene wrapper with rivet detail on it. Then I wondered what the capacities of the tanks were? I racked my brain for a while trying to remember some 5th grade geometry, it seams that my old age (35 35 ) has to crept up on me when I wasn't looking. I just can't remember how to find the square footage of a cylinder and convert it to gallons. Please help..... the measurements are : diesel fuel- 29 feet in diameter x 13 feet high
lube oil- 13 feet in diameter x 11 feet high

Thanks

Re: question for a math wiz? - eightyeightfan1 - 03-09-2009

Ummm.......Let me see....1+1 is 3.
My 48 year old mine is in worst shape.

Just a guess....You'd first have to know how many gallons are in a square foot.
I'm sure someone smarter, and has more degrees than I do can help.

Re: question for a math wiz? - Charlie B - 03-09-2009

I'm going to do this without googleing, just to see how close I am. The area of a circle is Pi X radius squared so the 29 ft diameter tank would have a 14.5 ft. radius. That would be 210.25 X 3.1416 =660.5214 X 29 (length=19155.12 cu ft X 8 gal per cu ft =153240.9648 Gallons
Am I close?
Icon_lol

Charlie

Re: question for a math wiz? - Puddlejumper - 03-09-2009

Let's see here...
Volume of a cylinder is Pi(RR)H

7.48 gals in 1CUFT

So 3.14(14.5x14.5)13 is 8582.4 CUFTx7.48= 64,196 gals diesel

3.14(6.5x6.5)11 is 1459.315 CUFTx7.48= 10,915 gals lube oil

I think... Goldth Thank goodness for fire dept. pumps class!

Dave

Re: question for a math wiz? - jim currie - 03-09-2009

if i did it right in head diesel is 64,229 oil is 12,890. rounded to closest gallon.
Jim

Re: question for a math wiz? - e-paw - 03-09-2009

I don't know if your rite I checked my sons text book but there not up to this type of work in the 3rd grade. Nope I'll check with some guys at work tomorrow.

Re: question for a math wiz? - Charlie B - 03-09-2009

Yes I screwed up I used the diameter for the length...da...That is why I don't like math any more. They keep changing it. Icon_lol
It's nice to be wrong.
Charlie

Re: question for a math wiz? - e-paw - 03-09-2009

All right I went to ask.com and came up with these #'s . I left some room for expansion of the fluids for safety. " 357 I don't need any HO scale explosions 357 "
lube oil 43,650 gal.
#2 oil 256,580 gal.

Re: question for a math wiz? - Puddlejumper - 03-09-2009

Jim and I came up with roughly the same answer, the difference can be accounted for by how many decimal places we used in our math. 43,000 and 256,000 seem like rather large numbers, how did you figure it?

Think of the size of an HO scale 10,000 gal tank car. How big are your tanks in comparison?
Dave

Re: question for a math wiz? - jim currie - 03-09-2009

Puddlejumper Wrote:Jim and I came up with roughly the same answer, the difference can be accounted for by how many decimal places we used in our math. 43,000 and 256,000 seem like rather large numbers, how did you figure it?

Think of the size of an HO scale 10,000 gal tank car. How big are your tanks in comparison?
Dave
you used the more precise formula i just figured the sq ft area times height.
jim

Re: question for a math wiz? - Steamtrains - 03-10-2009

Hi...Dave has the right answers.....(I do too.... Goldth )....

Re: question for a math wiz? - MasonJar - 03-10-2009

Dave & Jim are right...

Diesel tank
29 Dia / 14.5 radius
13 High

Lube Oil tank
13 Dia / 6.5 radius
11 High

1 cubic foot = 7.48 US gallons

Volume of a cylinder

(Pi*R^2)*Height


Diesel tank
3.14*14.5^2*13*7.48

~ 64,200 gallons

Lube Oil tank
3.14*6.5^2*11*7.48

~ 10,900 gallons


Your 43,000 and 256,000 calulations sound like it's roughly the capacity in litres (conversion factor 3.78 litres/US gallon).



Andrew

Re: question for a math wiz? - Charlie B - 03-10-2009

I agree, Jim and Puddlejumper are right.
Charlie.

Re: question for a math wiz? - e-paw - 03-10-2009

No, I just messed up and used the diameter for the radius in my calculations Wallbang


   
Here are the 2 fuel tanks, the lube tank, and pump house under construction. I threw in a tank car for comparison.

Re: question for a math wiz? - Puddlejumper - 03-10-2009

Well that was a fun exercise...

Those look like a good beginning to a fuel storage facility. Keep us posted. Thumbsup

dave