A bundt cake (see Exploration 1, Section 7.3) has a hole

Chapter 7, Problem 49

(choose chapter or problem)

A bundt cake (see Exploration 1, Section 7.3) has a hole of radius 2 inches and an outer radius of 6 inches at the base. It is 5 inches high, and each cross-sectional slice is parabolic. (a) Model a typical slice by finding the equation of the parabola with y-intercept 5 and x-intercepts %2. y ! 5 " & 5 4 &x2 (b) Revolve the parabolic region about an appropriate line to generate the bundt cake and find its volume

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