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?

oliviapow06 Mar 1, 2021

#1**0 **

*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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Guest Mar 1, 2021

edited by
Guest
Mar 1, 2021