Okay I think I fixed the subtle little mistake.
By the way, I think this is just Wonderful!
Grrrrr there's a minor little itty-bitty mistake here somewhere, but it doesn't affect the final result. But grrrrrrr anyway, I hate it when I'm not perfect.
Here's how to get Ἀρχιμήδης's ratio
volume of inscribed sphere
---------------------------------
volume of right circular cylinder
-- one tennis ball that just fits in a cylindrical can -- with elementary integral calculus (which Ἀρχιμήδης probably knew, even though it wouldn't officially be discovered for another 1920 years).
volume of inscribed sphere
---------------------------------
volume of right circular cylinder
-- one tennis ball that just fits in a cylindrical can -- with elementary integral calculus (which Ἀρχιμήδης probably knew, even though it wouldn't officially be discovered for another 1920 years).
Find and fix my itty-bitty little mistake and ... uhhh ... I'll give you 3 slices of square no-tomato-sauce pizza.
