Understanding the Trough Problem: 10ft Pipe with Isoceles Triangle Ends

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In summary, the conversation discusses a trough with the shape of isosceles triangles at its ends, measuring 10ft long and 1ft high. The speaker mentions using the volume of a cylinder and two cones to help solve a problem related to this trough. They also clarify the definition of a trough and its dimensions.
  • #1
JasonRox
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This is the beginning of a question and I have NO clue what the hell they are talking about.

A trough is 10ft long and its ends have the shape of isoceles triangles that are 3ft across at the top and have a height of 1ft.

This is just the beginning of the question. I looked up what trough is and I found it to be some sort of pipe.

I can't solve the problem without this.

I'm thinking of a pipe that is 10 feet long and 1 feet high. That is the volume of a cylinder. Plus, 2 cones on the tips of some kind. I really don't know.

Any help?
 
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  • #2
A trough is, erm, something that farm animals eat out of, amongst other things. Just imagine you've got a container that is prism of constant cross section (the triangle) and of length 10ft. That is the trough.

Feet? Oh well. Never mind.
 
  • #3
take a long section of pipe with a triangular cross section. remove one of the sides and you'll have your trough.
 
  • #4
Like this...

\...../
..\_________/

...is that it?

3 feet across the top, from what?
 
  • #5
Yes that would be a trough, I would say the distance between the top corner of the trough to the other top corner is 3 feet.
 
  • #6
In other words, the trough is 1 feet tall.
 

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