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Pipes are specified with inside diameter. I cannot find a conclusive reference, but it makes sense that hoses are measured in the same manner.

So if diameter is 1 inch, then radius = 0.5 inch, and cross section area = pi*r² = (3.14)*(0.5 in)² = 0.785 in², then multiply by length to get volume: V = (100 ft)*(12 in/ft)*(0.785 in²) = 942 in³. There are 231 cubic inches in 1 US gallon, so that is 4.08 US gallons.

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Q: How much liquid will a 1 inch by 100 feet hose hold?
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