Assuming the 100ft garden hose is completely filled with water, the volume of water in the hose can be calculated as follows:
First, convert the diameter from inches to feet: 1 inch = 1/12 feet.
Calculate the cross-sectional area of the hose: A = πr^2, where r is the radius of the hose (which is half the diameter). So, r = (1/2)/12 = 1/24 feet. Therefore, A = π(1/24)^2 = 0.000436 square feet.
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Multiply the cross-sectional area by the length of the hose to get the volume: V = AL = 0.000436 × 100 = 0.0436 cubic feet.
To convert cubic feet to gallons, we need to know the specific weight of water, which is 62.4 pounds per cubic foot. One gallon of water weighs 8.34 pounds.
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So there are approximately 0.326 gallons of water in a 100-foot, 1-inch diameter garden hose when it is completely filled with water.
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Jeff Hargis
Your math is incorrect. The area of a 100 foot garden hose, 1" in diameter is 0.55 cubic feet. This converts to 4.14 gallons of water in the given hose.
The radius in feet of a 1" diameter garden hose is 0.042 feet. Thus, (0.042 × 0.42) x 3.14π x 100feet yields the area of the given hose as 0.55 cubic feet. This multiplied by the 7.48 converting factor to get gallons gives us 4.14 gallons. It should be rather intuitive that 100 feet of hose should hold more than 1/3 of a gallon when the erroneous answer was derived.