Question 1198196
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{{{ V = (4/3)*pi*r^3 }}}  <<-- Plug in V then use this to find r
{{{ S = 4*pi*r^2 }}}      <<-- 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.