Volume of Revolution: Find the Volume with Maple Help

  • Thread starter Thread starter wedontneed
  • Start date Start date
  • Tags Tags
    Revolution Volume
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 4K views
wedontneed
Messages
1
Reaction score
0
here is the question:

The finite plane region bounded by the curve x*y=1 and the straight line
2x+2y=5 is rotated about that line to generate a solid of revolation. Find the volume of solid.

İ have to do this on mapple can someone help me how can i do this.
 
Physics news on Phys.org
Have you drawn the graph? In particular you will need to find where the hyperbola xy= 1 and 2x+ 2y= 5. What x satisfies 2x+ 2/x= 5? You might also want to find the distance between the line and hyperbola measured along the line perpendicular to 2x+ 2y= 5. Since 2x+2y= 5 has slope -1, any line perpendicular to that has equation y= x+ b for some b.