# convert

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### convert

i have 700 linear feet of 5/8" pipe.how many gallons does this hold?
slipps

### Re: convert

slipps wrote:i have 700 linear feet of 5/8" pipe.how many gallons does this hold?

The formula for the volume of a cylinder is: PI * radius squared * length. Iâ€™m assuming 5/8" is the inside diameter. The volume in gallons (US) is approximately 11.16. The calculations are correct but itâ€™s an approximation as the inside diameter of the pipe isnâ€™t perfect and will have slight deformations along itâ€™s length.

How I got there:

I converted to like units, using inches instead of feet, converted the diameter of 5/8 of an inch (fraction) to itâ€™s decimal equivalent in inches, divided this diameter by 2 to get the radius and ran the formula noted above.

5 / 8 = 0.625" / 2 = 0.3125"
700 feet * 12 = 8400"

Running the formula using inches to obtain in^3:
PI * 0.3125^2 * 8400
3.1415927 * 0.097656 * 8400 = 2,577.08772 in^3

As there are 231 in^3 in a gallon (US), divide 2,577.08772 by 231 to get gallons. The precision is much more than is needed, so 11.16 gallons (US).
Dirtman
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