I was told this problem could be done with divergence theorem, instead of as a surface integral, by adding the unit disc on the bottom, doing the calculation, then subtracting it again.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

for del . f I get i + j = 2. Which makes the integral equal twice the volume of the hemisphere, or 4/3 pi. Now I'm supposed to subtract the unit disc, but I get pi when I calculate that surface, which leaves me with 1/3 pi. The answer should be 7/6 pi.

Thanks :)

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# Homework Help: Divergence theorem over a hemisphere

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