My name is David

I trying to find out how much water 500 ft of 3/4 inch hose will hold. I'd also like to know how you figured the answer. Please include the formula.

Thank you

Hi David,

The volume of a circular cylinder of height h and radius r is

pi r ² h If you stand your hose on end you have a circular cylinder of height 500 feet and radius of one-half of ³/₄ inches which is ³/₈ inches. We need to settle on the units to use so let's use feet. Thus the cylinder has a radius of ³/₈₁₂ = ³/₉₆ = ¹/₃₂ feet.

Hence the volume of the hose is

pi r ² h = 3.1416 ( ¹/₃₂) ² 500 = 1.534 cubic feet.

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