  This note gives a simple formula for the unique asymptotically conical
Calabi-Yau metrics on the canonical bundle of a flag variety known to exist by
the work of R. Goto and others. This is done by generalizing the well known
Calabi Ansatz to general K\"{a}hler classes. We give some examples of explicit
families, in particular, a formula for the two dimensional family of
asymptotically conical metrics on the canonical bundle of $F_{1,2}$.
