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Math Help - differentials

  1. #1
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    differentials

    question:
    thickness of each shell is .2cm. Use differentials to approximate the volume of each shell

    im looking at a cylinder with
    thickness = .2
    height = 40
    radius = 5cm

    volume of cylinder = pi*r^(2)*h

    how do i solve this :/ without a change in X given in the equation?
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  2. #2
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    I'm sorry, where do you get that there are "200 such shells"? I interpret this problem as related to a single shell with r= 5, h= 40, and dr= .2.

    The volume is 2\pi (5)(40)(.2).
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by HallsofIvy View Post
    I'm sorry, where do you get that there are "200 such shells"? I interpret this problem as related to a single shell with r= 5, h= 40, and dr= .2.

    The volume is 2\pi (5)(40)(.2).
    I also assumed dh=0.2 cm as well so 40cm is 200 annuli (in retrospect it does not seem such a natural interpretation, but should still give the same result).

    On second thoughts I don't think it was a sensible attempt at interpreting the question

    CB
    Last edited by CaptainBlack; March 29th 2010 at 08:56 AM.
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