Partial Surface Area of a Tube

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SUMMARY

The discussion focuses on calculating the surface area of an exposed section of a cylindrical pipe with a radius of 0.848 m and a length of 1.00 m, which is partially buried underground. The total surface area of the entire pipe is calculated to be 5.64 m² using the formula 2πrL. The exposed surface area requires consideration of the angle of exposure, which is mentioned as 92 degrees. Additional resources, such as the Wikipedia page on circular segments, are suggested for further understanding of the calculations involved.

PREREQUISITES
  • Understanding of cylindrical geometry
  • Familiarity with the formula for surface area of a cylinder
  • Basic knowledge of circular segments
  • Ability to perform calculations involving angles in degrees
NEXT STEPS
  • Research the formula for the surface area of a circular segment
  • Learn how to calculate the exposed surface area of a cylinder
  • Explore the concept of arc length in circular geometry
  • Study the application of trigonometry in cylindrical calculations
USEFUL FOR

Engineers, mathematicians, and students studying geometry, particularly those involved in civil engineering or pipe design, will benefit from this discussion.

deweyirl
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Hi all,

I hope this is the correct place to post this.

Below is a section of a pipe. The pipe has a radius of 0.848 m.

For this example, assume the pipe is buried below ground but a section of it remains exposed. The centre of the pipe is buried 0.590 mbelow the ground. If we assume the pipe is 1.00 m in length, what I am wanting to know is, how is the surface area of the exposed pipe calculated?

I know the surface area of the pipe would be 2 times pi times the radius times the length of the pipe.
The total surface area of the pipe would be 5.64 m2.

Thanks in advance
 

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You know the circumference right ##2\pi r^2## ?

and that a circle has 360 degrees but you're only interested in 92 degrees.
 
##-## removed ##-##
 
deweyirl said:
...
The centre of the pipe is buried 0.590 mbelow the ground. If we assume the pipe is 1.00 m in length, what I am wanting to know is, how is the surface area of the exposed pipe calculated?
...
For other cases for which you don't have a tool that can give you the angle, this may help:
https://en.wikipedia.org/wiki/Circular_segment
 
Deweyirl. What is the "1219" number in your drawing? That might be the arc length of the exposed pipe or the side if were to be cut and stretched out to make a square.
 

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