Question: Problem 9. A surface S is given in cylindrical coordinates by an equation of the form=f(z),azbwhere f(z) is a positive function satisfying f(a)=f(b)=0. Show that

Problem 9. A surface S is given in cylindrical coordinates by an equation of the form=f(z),azbwhere f(z) is a positive function satisfying f(a)=f(b)=0. Show that the surface area of S is equal to2abf(z)1f'(z)22dzand that the volume enclosed by S is equal to2abf(z)2dz

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