Math CentralQuandaries & Queries


Subject: liquid
Name: Fred

I have 350 ft. of 3/8 ID tubing. How many 64 oz. gallons of liquid will it hold?

Hi Fred,

The volume of a cylinder is given by

V = π r2 h

where r is the radius of the cylinder and h is the height(length). Your cylinder has a length of 12 x 350 = 4200 inches. Your tubing has a 3/8 inch inside diameter so the radius is 3/16 inches. Thus the volume is

V = π (3/16) 2 x 4200 = 463.9 cubic inches

Since you told us you are in the US I expect you want US gallons which are 128 fluid ounces not 64 fluid ounces. One US gallon is 231 cubic inches so your tubing has a volume of

V = 463.9/231 = 2 US gallons


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