# Thread: How much water does a 50' fire hose hold?

1. ## How much water does a 50' fire hose hold?

I know this might seem like a basic question but I cannot find a formula to figure how much water is contained in a 50 foot section of 1.5, 1.75, 2.5, and 3 inch hose. Can anyone supply me with this info?

2. I'm fairly certain that when it's dried and rolled that it contains no water.
Does this help?

3. Area of a circle times length of hose (make sure you convert 50 ft to inches). Find a conversion factor for gallons of water to cubic inches and you have it.

4. I believe there are 231 cubic inches in a gallon. I hope this helps.

5. ## 4.6 gallons

I used the numbers in this post for this calculation (they seem reasonable to me). Please correct if I've made an error.

1.5" diameter hose has a radius of .75"
Pie= 3.142
50' = 600 inches
1 gallon = 231 cubic inches

area of a circle= pie*rsquared
=3.142*(.75*.75)
=1.767
volume= area* height (in this case length)

= 1.767*(50*12)
=1060.2 cubic inches
divided by ci per gallon (231)
=1060.2/231
=4.589 gallons in a 50' 1.5" hose full of water.

6. If you really want to throw a wrench in the wringer, consider that your hose will expand in diameter under pressure. . .

7. Originally posted by ullrichk
Area of a circle times length of hose (make sure you convert 50 ft to inches).
...otherwise known as the "volume of a cylinder"...

Sorry...couldn't resist...I'll stop nit-picking now...

8. Originally posted by bobsnyder

...otherwise known as the "volume of a cylinder"...

Sorry...couldn't resist...I'll stop nit-picking now...

Hey, cut me some slack! I was doing the Readers' Digest version of the formula with an explanation.

(So much for brevity!)

9. Found these old notes. Multiplication factors are from charts. Weight of 100" foot lines is before adding in hose and nozzle.

1 ½” 100 x .0918= 9.18 gallons 9.18 x 8.34= 76.56 lbs.
1 ¾” 100 x .1249= 12.5 gallons 12.49 x 8.34= 104.16 lbs.
2” 100 x .1632= 16.32 gallons 16.32 x 8.34= 136.11 lbs
2 ½” 100 x .2550= 25.50 gallons 25.50 x 8.34= 212.67 lbs.
3” 100 x .3672= 36.72 gallons 36.72 x 8.34= 306.24 lbs.
4” 100 x .6528= 65.28 gallons 65.28 x 8.34= 544.44 lbs

Ever think you were dragging around this much weight?

10. To simplify the calculation use:

V = 0.04078 (d^2) (L)

V = Volume in Gallons
d = Hose diameter in inches
L = Hose length in feet
Note: d^2 = d squared

This saves numerous steps the possibility of skipping one of the conversions.

If you are interested in the weight, use:

W = 0.3397 (d^2) (L)

W = Weight of water in pounds

11. Originally posted by R1SAlum
Found these old notes. Multiplication factors are from charts. Weight of 100" foot lines is before adding in hose and nozzle.

1 ½” 100 x .0918= 9.18 gallons 9.18 x 8.34= 76.56 lbs.
1 ¾” 100 x .1249= 12.5 gallons 12.49 x 8.34= 65.92 lbs.
2” 100 x .1632= 16.32 gallons 16.32 x 8.34= 136.11 lbs
2 ½” 100 x .2550= 25.50 gallons 25.50 x 8.34= 212.67 lbs.
3” 100 x .3672= 36.72 gallons 36.72 x 8.34= 306.24 lbs.
4” 100 x .6528= 65.28 gallons 65.28 x 8.34= 544.44 lbs

Ever think you were dragging around this much weight?

what no 5"?

12. Check your math on the 1 3/4". I would but I am missing a couple of toes.

13. You're right Herb, thanks. I corrected it.

14. ## Re: How much water does a 50' fire hose hold?

Originally posted by redtrucks
I know this might seem like a basic question but I cannot find a formula to figure how much water is contained in a 50 foot section of 1.5, 1.75, 2.5, and 3 inch hose. Can anyone supply me with this info?

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