Let S be the part of the sphere
x^2 + y^2 + z^2 = 25
that lies above the plane z = 4. Let S have constant density k.
(a) Find the center of mass.
(b) Find the moment of inertia about the z-axis.
x^2 + y^2 + z^2 = 25
that lies above the plane z = 4. Let S have constant density k.
(a) Find the center of mass.
(b) Find the moment of inertia about the z-axis.
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