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Math Help - function/ rate of change problem

  1. #1
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    function/ rate of change problem

    The height of an (axially symmetric) pipe z as a function of the distance from the
    axis of symmetry is  z = 2 - 2x^{2} , where both z and x are measured in metres, and where   0 \leq z \leq 2  and 0 \leq   x  \leq  1 . What is the total volume of hay in cubic metres
    in the haystack?


    This question makes no sense to me,How does 'haystack' come into this, surely it talking about a pipe?

    Any help appreciated.
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  2. #2
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    Is there more to the problem? A proceeding paragraph if it's from a textbook? It does seem out of place to suddenly go from talking about a pipe to mentioning a haystack. Unless it is referring to to x and z as dimensions for hay stacked into the pipe.
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  3. #3
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    Quote Originally Posted by moderata View Post
    Is there more to the problem? A proceeding paragraph if it's from a textbook? It does seem out of place to suddenly go from talking about a pipe to mentioning a haystack. Unless it is referring to to x and z as dimensions for hay stacked into the pipe.

    That is the whole question, I will ask my teacher tomorrow, maybe there is a typo?

    Thank you
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  4. #4
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    I asked my teacher and he said it should say 'cylinder', instead of 'pipe' and the correct answer is  \pi

    I think I am meant to use Volumes of Revolution ? Any idea's as to how to start this off?
    Last edited by Tweety; November 23rd 2010 at 06:58 AM.
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