<<-- Plug in V then use this to find r

      <<-- then use this to find Surface area S.



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Tutor Alan3354:  Yes, it is interesting.  If one views the spherical volume as a huge  number of hollow spherical shells(*), then dV/dr = S   is a bit more intuitive, perhaps.  



(*)

   In the limit, an infinite number of infinitesimally thin spherical shells.  

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
 It's interesting (IMO) the the SA of a sphere is the 1st derivative of the volume.

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Also, a regular cube with sides of 2s has a volume of 8s^3.  The 1st derivative is 24s^2, which is the surface area. 

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