4．
\((1)\)一个几何体的三视图如图所示，则该几何体的外接球的体积为\(\_\) ．
\((2)\)在等腰\(\Delta ABC\)中，\(AB=AC\)，\(BC=6\)，点\(D\)为边\(BC\)的中心，则\(\overrightarrow{AB}· \overrightarrow{BD} \)__________．
\((3)\)抛物线\(y^{2}{=}4x\)的焦点为\(F\)，过\(F\)的直线与抛物线交于\(A\)，\(B\)两点，且满足\(\dfrac{{AF}}{{BF}}{=}4\)，点\(O\)为原点，则\({ΔAOF}\)的面积为__________．
\((4)\)设函数\(f\left( x \right)\left( x\in R \right)\)满足\(f\left( x-\pi \right)=f\left( x \right)-{\sin }x\)，当\(-\pi < x\leqslant 0\)时，\(f\left( x \right)=0\)，则\(f\left( \dfrac{2018\pi }{3} \right)=\)___________