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A pipe 2 feet in diameter will allow four times more fluid to pass through it than a pipe 1 foot in diameter.
A pipe 2 feet in diameter will allow four times more fluid to pass through it than a pipe 1 foot in diameter. is a Interesting Fact in the Interesting Facts category.

V = pi(square of the the radius)(height)
When diameter = 1 foot, Volume = pi((1/2)^2)*h = (1/4)pi*h
When diameter = 2 feet, Volume = pi((1)^2)*h = pi*h
So pi*h is four times (1/4)pi*h.
Not air pressure!