1. The problem statement, all variables and given/known data What is a height of a maximum volume cone when slant height is s? 3. The attempt at a solution s^2 = h^2 + r^2 r^2=s^2-h^2 V=1/3*pi*r^2*h V=pi/3*(s^2-h^2)*h V=pi/3*(s^2*h-h^3) V'=pi/3*(s^2-3h^2) → s^2-3h^2=0 s^2=3h^2 → (s^2)/(3)=h^2 → h= s/SQRT(3) My textbook says that correct solution is s*sqrt(3)/3 ??? Edit: Solved it, delete thread please.