Question 1198196: A sphere has a volume of 972pi cubic inches. Find the surface area of the sphere. Found 2 solutions by math_helper, Alan3354:Answer by math_helper(2461) (Show Source):
<<-- 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.
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.
