Question: a. Express the area A of the cross-section cut from the ellipsoid by the plane z = c as a function of c. b. Use

a. Express the area A of the cross-section cut from the ellipsoidx + 4 9 = 1


by the plane z = c as a function of c.


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 ellipsoidimage


Does your formula give the volume of a sphere of radius a if a = b = c?

x + 4 9 = 1

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