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Is it right to say that in a sphere of radius R, the volume inside a solid angle $\Omega$ is just : $V=\frac{4\pi R^3}{3}\frac{\Omega}{4\pi}=\frac{R^3 \Omega}{3}$ ?

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1 Answer

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Yes, in another way we can see that the volume of a spherical sector of radius $r$ is$$ V=\frac{rA}{3} $$where $A$ is the area of the cap that is $A=\Omega r^2$

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