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[Step-by-Step] Let the surface S be the upper hemisphere of the sphere x 2 + y 2 + z 2 = a 2 (i.e., the part of the sphere in the region z≥ 0). Find z̄

Question: Let the surface S be the upper hemisphere of the sphere x 2 + y 2 + z 2 = a 2 (i.e., the part of the sphere in the region \(z\ge 0\) ). Find \(\bar{z}\) the z-coordinate of the centroid of S and the moment of inertia of S for rotation about the z-axis. These are surface integrals, don’t do the triple integral over a solid region.

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Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document


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