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#1
02-18-2010, 02:47 PM
 Unregistered Guest Posts: n/a
Volume of water in a pipe

How many gallons of water are in a 6 inch pipe, that has 2 inches of water in the bottom of the pipe. The pipe is 500 feet long.
Thanks
#2
02-18-2010, 04:13 PM
 Robert Fogt Administrator Join Date: Dec 2005 Location: Seattle, WA Posts: 3,467 Rep Power: 13
Re: Volume of water in a pipe

http://www.onlineconversion.com/obje...nk_partial.htm

You will have to convert all the base units to the same, such as feet.
6 inches = 0.5 feet
2 inches = 0.1667 feet

The volume is returned in cubic feet, which you have to convert to gallons.
28.6 cubic feet

28.6 cubic foot = 213.942 857 14 gallon [US, liquid]

#3
02-18-2010, 05:07 PM
 Unregistered Guest Posts: n/a
Re: Volume of water in a pipe

Thanks for your response, but I can,t figure out how you came up with the 28.6 cubic feet.
#4
02-18-2010, 09:03 PM
 Robert Fogt Administrator Join Date: Dec 2005 Location: Seattle, WA Posts: 3,467 Rep Power: 13
Re: Volume of water in a pipe

Its a bit complex, which makes it much more suited for a computer script to calculate, but its like this:
if h < r
volume = (lrČ / 2) * (2 * acos((r - h)/r) - sin(2 * acos((r - h)/r)))

if h = r
volume = (PI * lrČ) / 2;

if h > r
volume = PI * lrČ - (lrČ/ 2) * (2 * acos(((r - (2r - h))/r)) -sin(2 * acos(((r - (2r - h))/r))))

if h = d
volume = PI * lrČ;

where l = length, r = radius, h = height, d = diameter

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