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How to compute the area of a hyperboloid of revolution?

  1. Aug 4, 2012 #1
    Assume that the implicit equation of the one-sheeted hyperboloid is
    (x/a)^2 + (y/a)^2 - (z/c)^2 = 1

    How am I able to obtain the surface area of hyperboloid ?
  2. jcsd
  3. Aug 4, 2012 #2


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    Parametrize the surface by:

    Where u runs the from 0 to 2*pi, whereas the limits of v is determined by the limits of z.

    Then, set up the surface integral in the usual way; it is analytically solvable.
    Last edited: Aug 4, 2012
  4. Aug 4, 2012 #3
    Thank you. I'll try it
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