1.
如图所示,正方体
\(ABCD\)\(-\)
\(A\)\({\,\!}_{1}\)
\(B\)\({\,\!}_{1}\)
\(C\)\({\,\!}_{1}\)
\(D\)\({\,\!}_{1}\)的棱长为\(6\),则以正方体
\(ABCD\)\(-\)
\(A\)\({\,\!}_{1}\)
\(B\)\({\,\!}_{1}\)
\(C\)\({\,\!}_{1}\)
\(D\)\({\,\!}_{1}\)的中心为顶点,以平面
\(AB\)\({\,\!}_{1}\)
\(D\)\({\,\!}_{1}\)截正方体外接球所得的圆为底面的圆锥的全面积为______.