cylinder volume

Thread Starter

adamclark

Joined Oct 4, 2013
472
area of a cylinder = pi times radius squared times height
Im building a woofer box for my car and I have some 12 inch abs pipe. It measures 11 inches i.d. . I need 1.25 cf of air for my woofer. How long would it need to be? I understand your formula ok but how would I find the length it needs to be?
 

Wendy

Joined Mar 24, 2008
23,800
11" = 5.5" radius = 0.458'
3.1416 X .458'² X L = 1.25'³
1.439' L = 1.25'³
L = 1.897' or 22.76"

The volume of 2' long pipe at 11" width is.

CF = π R² L = 3.1416 X 5.5"² X 24" = 2280.80"³ or 1.32'³

Be aware though, with any tube of air comes resonance.
 
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WBahn

Joined Mar 31, 2012
33,009
11" = 5.5" radius = 0.458'
3.1416 X .458'² X L = 1.25'³
1.439' L = 1.25'³
L = 1.897' or 22.76"

The volume of 2' long pipe at 11" width is.

CF = π R² L = 3.1416 X 5.5"² X 24" = 2280.80"³ or 1.32'³

Be aware though, with any tube of air comes resonance.
Bill, look at your notation. If 5.5"² means to square 5.5" and not 5.5 square inches, then doesn't 2280.80"³ have to mean to cube 2280.80" and not 2280.80" cubic inches?

Might I suggest:

CF = π R² L = 3.1416 X (5.5")² X 24" = (2280.80)"³ or (1.32)'³

or

CF = π R² L = 3.1416 X (5.5")² X 24" = 2280.80("³) or 1.32('³)

Probably the best would be to not use the " and ', despite how convenient they are.

CF = π R² L = 3.1416 X (5.5 in)² X 24 in = 2280.80 in³ or 1.32 ft³
 
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