A solid occupies the region of space located between the paraboloids of equations z = 10 - x² -y² and z = 10a - a(x² + y²)where 0 < a < 1. The density of this solid is proportional to the distance to the plane z = 0.For what values of the parameter a is the center of mass located inside the solid?Here the calculations are simple, but long, so you can use a software to evaluate the integrals. YouHowever, you must show the main steps of the calculation and give an exact answer.