Question: Problem # 1: The moments of a solid D about the coordinate axes indicated by the subscripts are given byLet Dbe the ice cream cone

Problem # 1: The moments of a solid D about the coordinate axes indicated by the subscripts are given byLet Dbe the "ice cream cone" cut from the sphere(x-1)2+(y-4)2+(z-5)2=4by the conez=5+(x-1)2+(y-4)22(Note that this surface was plotted in Problem #5of Matlab Lab #4.)Use the Matlab command triplequad or integral3to find the moment of inertiaaround the yIyis a constant equal to1.Note that triple integrals can be very computer intensive, and the required computation forthis question could take Matlab several minutes. Sobe patient!

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