O/T Math question

37 chief

Well-known Member
Need someone smarter than I am for this question.If a cylinder 3 ft in dia.full of water goes down 10 inches how many gallons of water would that be? Thanks for the help. Stan
 
3 foot diameter? 72 inchs/2=36. 36 squared =1296 multiply by Pi 3.1416 gives area inches. multiply by 10 gives volume in cubic inches. something around 220/250 cubic inches to the gallon?? Something like that I think-
 
Another way:

Area of a circle is:
PI(3.14159)X Radius squared(1.5'X 1.5')= 7.07 Sq.Ft.

Ht. of cylinder = 10" divided by 12" = 0.833ft.

7.07 X 0.833 = 5.89 Cubic feet

There's 7.48 gallons in a cubic foot therefore:
5.89 X 7.48 = 44.06 gallons

Paul
 
"Need someone smarter than I am", you said. . .

Not so - you've answered lots of questions on here that I didn't have a clue on!

Thanks,
Paul
 
In other words...you're asking what is the volume of a cylinder 3 feet in diameter, 10 inches tall...in gallons.

Well...three feet is 36 inches. Radius, which is half of diameter, would be 18 inches. (18 x 18) x pi [3.14159 and some change] x 10 would get the volume of the cylinder in cubic inches...which is 10,178.75 cubic inches.

Now, according to my conversion chart, 1 gallon = 231 cubic inches. So 10,178,75 divided by 231 equals 44.06 gallons.

At least that's what my calculator shows. Your mileage may vary...but your gallons shouldn't.
 
We were having a water well drilled years ago and were nearing 440 foot deep. I remembered asking the well man how deep he could drill. He said he could drill forever, but what limited him was how much drill stem his rig could physically pull out of the ground.

Then he said something that intrigued me. He said he could fill the hole up with water and that would in effect "float" the drill stem some and he could lift more out.

I forget the figures, but I did the math and figure out how many gallons of water an 8" hole, 440 feet deep would hold. However many gallons equated to the amount of steel drill stem it would displace. Archimidies principle. "A solid object immersed in a liquid is bouyed upwards by a force equal to the weight of the amount of liquid it displaces"

I did that from memory but think it is close.

I never thought about floating drill stem out, but it would work.

Gene
 

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