fuel barrel capacity

Gleanerguy · Jun 18, 2013

Anybody know how to figure the capacity of a barrel(roughly)? This is an odd shaped barrel. It is shaped like one of those oval shaped barrels cut in half lengthwise. Kind of shaped like a loaf of bread. It is flat on the bottom. It is 32" tall by 27" wide by 60" long.

mozark · Jun 18, 2013

If it was flat on all sides it would be approx 224.5 gal.

Gleanerguy · Jun 18, 2013

So its probably something like 200 gallons?

Thanks!

Geo-TH,In · Jun 18, 2013

Volume = area x height
Area is pi radius squared.
If you do all your calculations in inches, you answer will be in cubic inches, so (12) cubed = 1 cubic foot = 7.5 gallons

You assingment is to do the math, post you answer, no rough calculations, and then I'll tell you if you get an A or F.

Class dismissed!
George

Owen Aaland · Jun 18, 2013

(quoted from post at 12:34:09 06/18/13) Anybody know how to figure the capacity of a barrel(roughly)? This is an odd shaped barrel. It is shaped like one of those oval shaped barrels cut in half lengthwise. Kind of shaped like a loaf of bread. It is flat on the bottom. It is 32" tall by 27" wide by 60" long.

To find the volume first figure the size of the rectangle on the end formed if you drew a line across the tank at the top of the flat sides. That value times 60 will give the volume of that much of the tank. You then need to determine the area of the remaining end of the tank. If the remaining area is a half circle then 27 inches is the diameter and the calculations are easy. The size would be half of the circle.

In your case the upper part is most likely less that half a circle. You can measure the distance from a line across the top of the rectangle to the top of the tank. You can then use this dimension to find the area of a segment of a circle.

This site will help you find the formulas you need for the calculations.

Area of a circle

You will get pretty close to the volume if you just take this measurement times 13.5 times 60 and add it to the volume of the lower cube.

Ellsworth · Jun 18, 2013

It will be around 90 Gallon.

Geo-TH,In · Jun 18, 2013

I forgot to add in the rectangular part. The part left over is a rectangle that is 5 x 27 x 60.

Add the volumes of the cylinder part to the rectangular part to get the total cubic inches.

However, my formula is based on the top and bottom halfs but together will make a cylinder. It's possible the top curved part will look more like half a foot ball, oval shaped, in which case without exact measurements, the exact answer will be a guessing game.

Based on a cylinder and rectangle, my answer is 184.3 gallons. If it's oval shaped top and bottom, then the volume will be more.

George

fuel barrel capacity

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mozark

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Owen Aaland

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