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Math Help - Sin-wave volume

  1. #1
    SamFischer1000
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    Sin-wave volume

    Hi,
    This is more out of interest than anything else but I was wondering how I could find the volume of a sin function between (0-pi). Just to clarify, imaging a simple sin function and then extend it along the z-axis (just like a water wave).
    I figured that I would need to use a triple integral but haven't had much practice (about 3hours) with it.

    Thx for your help

    PS:Iīm in England and donīt understand the American education system so srry if this is the wrong board.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by SamFischer1000 View Post
    Hi,
    This is more out of interest than anything else but I was wondering how I could find the volume of a sin function between (0-pi). Just to clarify, imaging a simple sin function and then extend it along the z-axis (just like a water wave).
    I figured that I would need to use a triple integral but haven't had much practice (about 3hours) with it.

    Thx for your help

    PS:Iīm in England and donīt understand the American education system so srry if this is the wrong board.
    the volume will be infinite unless we put some bound on z. so let's say we bound the z by two planes that are perpendicular to the z-axis, that is a \le z \le b for a,b \in \mathbb{R} and a \ne b

    then the volume is given by:

    V = \int_{a}^{b} \int_{0}^{\pi} \int_{0}^{\sin x}~dydxdz
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