a. Slice the region horizontally, then rotate it about the x-axis to form an ellipsoid

Chapter 8, Problem 24

(choose chapter or problem)

a. Slice the region horizontally, then rotate it about the x-axis to form an ellipsoid. Find the volume of the ellipsoid by first writing dV in terms of the parameter t. b. Slice the region vertically, then rotate it about the x-axis to form the same ellipsoid. Show that you get the same volume. c. Find the volume of the solid generated by rotating the ellipse about the line x = 7.

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