Solved: (a) Use cylindrical coordinates to show that the volume of the solid bounded

Chapter 15, Problem 47

(choose chapter or problem)

(a) Use cylindrical coordinates to show that the volume of the solid bounded above by the sphere and below by the cone (or ), where , is (b) Deduce that the volume of the spherical wedge given by , , is (c) Use the Mean Value Theorem to show that the volume in part (b) can be written as where lies between and , lies between and , , , and .

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