Let R > 0 and H > 0, and let W be the upper half of the ellipsoid x2 + y2 + (Rz/H )2 =
Chapter 15, Problem 22(choose chapter or problem)
Let R > 0 and H > 0, and let W be the upper half of the ellipsoid x2 + y2 + (Rz/H )2 = R2, where z 0 (Figure 16). Find the centroid of W and show that it depends on the height H but not on the radius R.
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