Question: Let E be the solid, with the density function f (x, y, z)=x2+ y2+ z2, that lies inside the sphere x2+y2+z2=4,below the cone z =x2+

Let E be the solid, with the density function f (x, y, z)=x2+ y2+ z2, that lies inside the sphere x2+y2+z2=4,below the cone z =x2+ y2, and above the cone z =3x2+ y2. Find the mass of the solid.Answer: 4(3+2) where the bounds are [0,2], [0,2], [/4,5/6].

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