The amount of water contained in a garden hose turns out to be an elementary school geometry calculation. The volume of any cylinder is equal to the area of its inside measurement multiplied by the length of the cylinder.
The area of the hose section is equal to pi (3.1416) multiplied by the square of the radius. Garden hose comes in a variety of sizes, from 1/2-inch to 1-inch. 3/4-inch hose is typical. Using that as an example, the square of the radius (.375 multiplied by .375) equals .140625. That result multiplied times pi equals .4417875 square inches.
To calculate the volume, the length of the hose must first be converted to the same measurement standard. 100 feet of garden hose is 1,200 inches. 1,200 times .4417875 equals 530.145 cubic inches.
To state the volume in a more meaningful manner, cubic inches should be converted to a more common measure of liquid volume. One gallon of water contains 231 cubic inches. So, the 100-foot long, 3/4-inch diameter garden hose holds 2.3 gallons of water (530.145 divided by 231).
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