Consider the region above the r-axis and below y = e with z> 1, shown below. Consider a wizard hat (infinitely tall) obtained by the solid of revolution obtained by rotating this region about the r-axis. (a) Make a rongh sketch of this hat. (b) Does this hat have finite volume? Justify your answer with calculations.

Consider the region above the r-axis and below y = e with z> 1, shown below. Consider a wizard hat (infinitely tall) obtained by the solid of revolution obtained by rotating this region about the r-axis. (a) Make a rongh sketch of this hat. (b) Does this hat have finite volume? Justify your answer with calculations.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 22CR

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