Ellipsoid Problem: A half-ellipsoid (Figure 11-4g) is formed by rotating about the

Chapter 11, Problem 2

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Ellipsoid Problem: A half-ellipsoid (Figure 11-4g) is formed by rotating about the x-axis the region in the first quadrant bounded by = 1 (dimensions in feet) Figure 11-4g a. Confirm by appropriate integration that the volume is . b. Find the first moment of volume with respect to the yz-plane. c. Find the centroid.

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