A tank is 80 inches round and 13 feet 4 inches long.  How many liquid
gallons will this tank hold?

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Request for Question Clarification by jbf777-ga on 27 Aug 2003 10:47 PDT

Hi -

The way you're describing the tank, it sounds like a cylinder.  Are
these the only dimensions you have to work with?

jbf

Hello and thanks for the question.

The volume of a cylinder is calculated as follows:

radius of the base squared x Pi x the length of the cylinder.

If the circumference of the cylinder is 80 inches, that means the
radius of the base is:

Circumference / (2*Pi) = Radius

Radius =  12.73

We can now calculated the volume of the cylinder:

12.73 inches ^2 * Pi * 160 inches = volume

Volume = 81,487.33 cubic inches

There are 231 cubic inches in a US gallon.  

This means that your tank will hold: 352.759 gallons

Additional Links:

This site will calculate the capacity of a cylinder for you:
http://cowan.bendnet.com/volcalc/CylinderH.htm

This site allows you to convert from cubic inches to gallons:
http://www.pitt.edu/~rsup/volumeconv.html

Volume of a cylinder is discussed at:
http://www.mathleague.com/help/geometry/3space.htm#cylinder

If you are unsatisfied with any portion of this answer please request
clarification before submitting a rating.

Search Method:

cylinder volume
cubic inches gallon

Best of luck!

-blinkwilliams