Given that the density of the solid shown is $2,000$ kg$/$m$3,$ determine the mass moment of inertia of the solid in kg$-$m$2$ with respect to the axis AA$\text{'}.$ The geometric parameters are as follows:

d$1=250$ mm$,$ d$2=400$ mm$,$ d$3=850$ mm$,$ H $=4\mathrm{.}6$ m