1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Area of revolution of hyperbola

  1. Feb 12, 2010 #1
    1. The problem statement, all variables and given/known data
    Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the hyperbola y2−x2=4 and the lines y=0, x=3 and x=5 about the y− axis.


    2. Relevant equations

    Nothing specific...general equations

    3. The attempt at a solution

    So I would write it as
    I was wondering if it was just 2x*pi*dx*(√4+x2) from x=3 and x=5? Or would I have to incorporate the "hole" from x=0 to x=3.
     
  2. jcsd
  3. Feb 12, 2010 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Hi ~Sam~! :smile:

    (have a pi: π :wink:)

    Yes, just ∫35 2x*π*dx*√(4+x2) …

    you're "adding" the volumes of the cylindrical shells that make up the whole shape, so you only need the shells with radii from 3 to 5. :smile:
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Area of revolution of hyperbola
  1. Area under hyperbola (Replies: 5)

Loading...