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(a) The ellipse  is rotated about the x-axis to form a surface called an ellipsoid, or prolate spheroid.

Find the surface area of this ellipsoid.

 

(b) If the ellipse in part (a) is rotated about its minor exis (the y-axis), the resulting ellipsoid is called an oblate spheroid.

Find the surface area of this ellipsoid.

 

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Priyanshu Patel
Priyanshu PatelLv10
5 Dec 2020

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