(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

show that the volume enclosed by a closed surface S is given by

## \frac{1}{3} \int_{S} \vec{x} \cdot d\vec{A} ##

2. Relevant equations

divergence theorem

3. The attempt at a solution

using divergence theorem

I get that ##V =\frac{1}{3} \int_{V} \nabla \cdot \vec{x} dV ##

but I want

## V = \int_{V} dV ## don't I? how does it simplify?

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# Homework Help: A question that uses divergence thm

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