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:I´m in England and don´t 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 $a \le z \le b$ for $a,b \in \mathbb{R}$ and $a \ne b$
$V = \int_{a}^{b} \int_{0}^{\pi} \int_{0}^{\sin x}~dydxdz$