1. ## 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.

PS:Iīm in England and donīt understand the American education system so srry if this is the wrong board.

2. Originally Posted by SamFischer1000
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.

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 $\displaystyle a \le z \le b$ for $\displaystyle a,b \in \mathbb{R}$ and $\displaystyle a \ne b$
$\displaystyle V = \int_{a}^{b} \int_{0}^{\pi} \int_{0}^{\sin x}~dydxdz$