+205 A pipe with inside diameter 10'' is to carry water from a reservoir to a small town in an arid land. Neglecting the friction and turbulence of the water against the inside of the pipes, what is the minimum number of 2''-inside-diameter pipes of the same length needed to carry the same volume of water to the arid town?
A pipe with inside diameter 10'' is to carry water from a reservoir to a small town in an arid land. Neglecting the friction and turbulence of the water against the inside of the pipes, what is the minimum number of 2''-inside-diameter pipes of the same length needed to carry the same volume of water to the arid town?
The volume is a product of the cross-section area.
A pipe with 5" radius has an area of 25π.
A pipe with 1" radius has an area of 1π.
So it looks like it'd take 25 of those 2-inch pipes to equal the volume carried by the 10-inch pipe. Amazing.
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