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### Volume of a Tube Converted to Gallons

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Date: 08/01/97 at 18:15:13
From: Anonymous
Subject: Volume of a tube converted to gallons

I have a length of round pipe that is 4" in diameter and 10 feet long.
How many gallons of water will it hold if filled and sealed at both
ends?

Thanks Doc!

Bob
```

```
Date: 08/02/97 at 23:26:07
From: Doctor Scott
Subject: Re: Volume of a tube converted to gallons

Hi Bob!

First we need to find the volume of the tube.  From geometry, its
volume is (pi)(r^2)h, where r is the radius and h is the height.
We need, of course, to make sure that all of our dimensions are
expressed in the same units. It will probably be easiest to change
everything to inches.

Then, once you know the volume of the tube in cubic inches, we can
change it to cubic feet, by dividing by 12^3. (Since 12 inches =
1 foot, 12^3 inches = 1 cubic foot).

Finally, 1 cubic foot is approximately 7.5 gallons

Good luck!

-Doctor Scott,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
High School Geometry
High School Higher-Dimensional Geometry
Middle School Geometry
Middle School Higher-Dimensional Geometry
Middle School Terms/Units of Measurement

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