I googled a lot on proof of Gauss theorem and nearly every other proof (on web and so on books) state that solid angle of closed surface is 4pi but I can't find the proof of this nowhere !(adsbygoogle = window.adsbygoogle || []).push({});

I tried setting up the integral but don't know how to proceed furthur :

Ω=∫(cosθ/r^2)*dA

Also The one more thing which confuses me is http://mathworld.wolfram.com/SolidAngle.html proves solid angle of some other 3d shapes , those shapes also have close surfaces then why their solid angle is not equal to 4pi sr?

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# I Prove that solid angle of any closed surface is 4pi

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