Find the greatest possible volume for a circular cone having a given slant height??? I don't know how to attempt this
let $\displaystyle s$ = fixed slant height
$\displaystyle r^2 + h^2 = s^2$
$\displaystyle V = \frac{\pi}{3}r^2 h$
$\displaystyle V = \frac{\pi}{3}(s^2-h^2) h$
$\displaystyle V = \frac{\pi}{3}(s^2h-h^3)$
find $\displaystyle \frac{dV}{dh}$ and maximize ... remember that $\displaystyle s$ is a constant.