Theory and Examplesa. Express the area A of the
Chapter 12, Problem 45E(choose chapter or problem)
Problem 45E
Theory and Examples
a. Express the area A of the cross-section cut from the ellipsoid
by the plane z = c as a function of c. (The area of an ellipse with semiaxes a and b is )
b. Use slices perpendicular to the z-axis to find the volume of the ellipsoid in part (a).
c. Now find the volume of the ellipsoid
Does your formula give the volume of a sphere of radius a if a = b = c?
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