The solid hemisphere is constructed of materials with densities Ρ0 and Ρ0/2 as shown. (...

The solid hemisphere is constructed of materials with densities _Ρ0 and _Ρ0/2 as shown.

(a) Fully set up the integrals, including limits of integration, that will yield the mass moment of inertia about the x axis.

(b) Evaluate the integrals obtained in Part (a) using computer software such as Mathematica or Maple.