Posted by Denis Borris on October 09, 2002 at 16:26:44:
In Reply to: Mr B you are partially correct : I think I'm FULLY correct.... posted by Denis Borris on October 09, 2002 at 12:53:27:
Small cone:
: I have : R * T / 360 (T is in DEGREES)
: Similarly to radius, I have : R * sqrt(360^2 - T^2) / 360
Large cone:
: I have : R * (360 - T) / 360
: I have : R * sqrt[T(720 - T)] / 360
Using above (see my previous post), this becomes the sum of the 2 volumes:
V = pi * [t^2 * sqrt(360^2 - t^2) + (360 - t)^2 * sqrt(t * (720 - t))] / [3 * 360^3]
where:
V = sum of the 2 volumes
t = the V angle
It's correct: tested it.
BUT how in hell can we maximize that ugly thing?!