MULTI-STEP PROBLEM Calculus can be used to show that the average value of r 2 of a

Chapter 12, Problem 12.5.38

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MULTI-STEP PROBLEM Calculus can be used to show that the average value of r 2 of a circular cross section of a cone is rb 2 }3 , where rb is the radius of the base. a. Find the average area of a circular cross section of a cone whose base has radius R. b. Show that the volume of the cone can be expressed as follows: Vcone 5 (Average area of a circular cross section) p (Height of cone)

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