Proving a volume of a cylinder

  1. 1. Show that a volume of a clyinder equals to v= A^2 \ (4πh)
    where h= height of the cylinder
    A = area of a original paper

    how would i prove this question?
    could any one please help
    thank you

    v= πr^2 h -------1
    v=A^2 \ (4πh)-----2

    i tried to make h da subject but i got 4v^2 = Ar^2 which it does work out
  2. jcsd
  3. What is the curved surface area of a cylinder ?
    Is it the area of paper used ?
  4. yes the area of the paper is used
  5. Since this is in the precalculus forum, i won't refer to integrals. The regular expression for the volume of a cylinder is nr^2h. The area of the paper is A. Find an expression for A in terms of n, r and h, and simply square that and divide by 4nh to show that this equals the volume of the sylinder.
  6. Hootenanny

    Hootenanny 9,676
    Staff Emeritus
    Science Advisor
    Gold Member

    Just for the record, I prefer the integral form, much nicer and easier to understant I find.

  7. thank you for your help though
  8. what is the meaning of "putting the 2 functions in the parathesis seperated by the colon" ?? :bugeye: :bugeye:
  9. what's the meaning of
    "A = area of a original paper"

    yOU skipped the most important part !?
    by folding a paper to form a cylinder !? I assume..
    V=πrrh = 2πrh2πrh\4πh = AA\4πh

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