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| Math Central | Quandaries & Queries |
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Name: bryan Who are you: Other How many gallons of water does an 8 inch pipe that is 50 foot long hold? |
Hi Bryan,
One US gallon is 231 cubic inches. (If you are looking for British imperial gallons there are 277.42 cubic inches in a gallon.)
An 8 inch pipe has a diameter 8 inches and hence a radius of 4 inches, hence you have a cylinder that has
length = 50
12 = 600 inches and
radius = 4 inches.
The volume V of a cylinder is
V = π r2 h
where r is the radius and h is the height (length). Thus the volume of water in your pipe is
V = π 42
Hence the volume in US gallons is 30,159.29/231 = 130.56 gallons.
Penny
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