The value of $C$ in $(0,2)$ satisfying the mean value theorem for the function $f(x)=x(x-1)^2, x \in[0,2]$ is equal to

For the function $f(x)=x^3-6 x^2+12 x-3$; $x=2$ is

The function $x^x ; x>0$ is strictly increasing at

The maximum volume of the right circular cone with slant height 6 units is