A wagon wheel is constructed as shown in $($Figure $1).$ The radius of the wheel is $0\mathrm{.}300$ mm$,$ and the rim has mass $1\mathrm{.}42$ kgkg$.$ Each of the eight spokes, that lie along a diameter and are $0\mathrm{.}300$ mm long, has mass $0\mathrm{.}300$ kgkg$.$What is the moment of inertia of the wheel about an axis through its center and perpendicular to the plane of the wheel?

Express your answer in kilogram meters squared.