Question: (10 points)By considering a sphere of radius rtobe a surface of revolution, derive theformula A=4r2 for its surface area.This is a follow-upto Question 2. Now,

(10 points)By considering a sphere of radius rtobe a surface of revolution, derive theformula A=4r2 for its surface area.This is a follow-upto Question 2. Now, instead ofan equation of a circle, we are given anequation ofan ellipse:x2a2+y2b2=1,a>b0a.(30 points)We can obtain an ellipsoid by revolving the ellipse around the x-axis. Whatis the surface area of this ellipsoid? There is a common convention to let c=a2-b22along the way to make derivation a bit less messy. For credit, you must use the followingtrigonometric substitution in your solution:x=a2a2-b22sinub.(20 points) Based on what you get in part a, what ifwe let a~~b,orc~~0?

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