Consider the solid region $E$ bounded by $x=y^2,z=4-x$ and $z=-5$ with $y1.$ Set up but do the triple integral for the moment of inertia about the $y-$axis of a solid occupying $E,$ if the density at any point the solid $(x,y,z)$ is one more than the distance from that point from the origin, in $\frac{m}{k}g.$

Consider the solid region above the plane $z=3$ and below the sphere $x^2+y^2+z^2=4z.$ Convert the equati of the sphere into a spherical equation and solve for $.$ Then determine the angle $$ of intersection. Then se up a triple integral in spherical coordinates representing the volume of this solid. DO NOT evaluate.