Let S be the part of the sphere x² + y² + z² = 25 that lies above the plane z = 4. Let S have constant density k. (a) Find the

Question

Let S be the part of the sphere x² + y² + z² = 25 that lies above the plane z = 4. Let S have constant density k.
(a) Find the center of mass.
(x, y, z) = __
(b) Find the moment of inertia about the z-axis.
I₂ =

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