tube = cylinder
Total Surface Area = Area top + Area bottom + Area side
Area top = (pi)(r2)
Area bottom = Areatop
Area side = 2(h)(pi)(r)
Where r = radius and h = height
However, if the tube has no ends, just delete the area for the tops and bottoms and just use the calculation for the side.
2007-09-25 13:10:34
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answer #1
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answered by RadioActive 3
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The surface area of a tube? The inside is the lateral area of a cylinder, and the outside is the lateral area of a bigger cylinder. You can then treat the top and bottom edges as a circle minus another circle.
Let r be the inner radius (half of the inner diameter) and R be the outer radius (half of the total diameter). Let h be the height. Then the outside area is (2 Ï R) h, the inside area is (2 Ï r) h. The area of the "disc" on one end of the pipe is the circle of radius R minus the circle of radius r, or Ï R^2 - Ï r^2. This the same at both ends, so we double it. Adding up the parts gives:
(2 Ï R) h + (2 Ï r) h + 2(Ï R^2 - Ï r^2) =
2Ï (Rh - rh + R^2 - r^2) =
2Ï ( (R - r)h + (R+r)(R-r) ) =
2Ï(R - r) ( h + R+r )
2007-09-25 20:11:09
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answer #2
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answered by Anonymous
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A tube, whatever shape it is, has the same shaped cross section all the way along.
The **VOLUME** of the tube, is the area of that cross section x the length.
The *SURFACE AREA* is the perimiter of that cross section, x the length of the tube.
Be sure you know which one you want. The first one is (how many smarties can i fit in the tube?). The second one is (how much cardboard do i need to make the tube?)
2007-09-25 20:11:37
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answer #3
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answered by Douglas W 2
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I assume you want the outer surface area of the tube.
If so, then A = pi*d*h , where d is the diameter of the tube, and h is the length of the tube and pi = 3.1416.
If you want to include the surface of the inner surface then you must add pi*d1*h where d1 is the diameter of the hole in the tube.
Finally, if you want to include the area of the surface at each end of the tube, you must add 2pi(d-d1).
2007-09-25 20:19:32
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answer #4
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answered by ironduke8159 7
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a tube is also a cylinder so therefore the formula would be: pi x radius x height. hope that helped you! ^^
2007-09-25 20:24:43
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answer #5
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answered by monique 2
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total surface area???
use this formula, given that r=radius, h=height
(2 * (PI * r^2)) + ((2 * PI * r) * h)
2007-09-25 20:10:42
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answer #6
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answered by Veer 3
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