But why is a sphere's surface area four times its shadow?
December 2, 2018
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15:51Now PlayingBut why is a sphere's surface area four times its shadow?
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as posted by the channelThe formula is no mere coincidence.
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The first proof goes back to Greek times, due to Archimedes, who was charmed by the fact that a sphere has 2/3 the volume of a cylinder encompassing it, and 2/3 the surface area as well (if you consider the caps). Check out this video for another beautiful animation of that first proof:
Calculus series:
Thanks to these viewers for their contributions to translations
German: @Dat-Pudding
Hebrew: Omer Tuchfeld
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These animations are largely made using manim, a scrappy opensource python library
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
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