How Is Flux Calculated Through a Spherical Surface Using Spherical Coordinates?

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Homework Statement


What is the flux of r(vector) though a spherical surface of radius a?


Homework Equations


to solve this use spherical coordinates.


The Attempt at a Solution


∫a . ds
 
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To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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