We add water to the bowl until the surface line FG has maximum length. What is the length FG? (DGA is a semicircle, and AFE is a circular arc with center C.)
Scroll down for a solution to this problem.
Solution
FG is 10.
You can get to 10 without any calculus if you realize tangents are parallel at F & G.
One reply on “Filling the bowl”
2nd way