volume

Volume is a property associated with a finite region of space. The volume occupied by a given region of space $ \Omega$ is typically denoted by the symbol $ V$. It is always possible to subdivide a given region into smaller sub-regions. The symbol $ dV$ is often used to denote the volume occupied by an arbitrarily small region of space. Thus the total volume occupied by $ \Omega$ can be expressed as:

$\displaystyle V = \int_{\Omega} dV
$



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