Good catch! For the exams/HW, I've been using CAD software to check answers - for InventorPro it is iproperties, or AutoCAD it is mass properties - it will calculate center of mass, moment of inertias etc.
↑ the x,y,z's are oriented differently but #'s match calculations (had to use uniform density). CAD software is free for students to download, so I think counts as OER?