I mean, we have two solutions, one analytical using calculus, and one geometric numerical. I think this problem has been taken care of? Unless there are other cool methods to solve it.
Volume remaining! The fact that it comes out to square root of two boggles my mind! Yeah, my solution is entirely analytical without any approximations, but yes I did use calculus.
I'm sorry but I looked this problem up on google, because I remember this problem being thrown at me by a tyrannical 8th grade algebra teacher trying to show what kind of problems 'he thought were difficult.' Now, I've taken a vector calculus class I noticed the problem is really easy -> if you...