6. The region bounded by y=e*, y=0, x=0 and x = 1 is rotated about the y-axis. Sketch the resulting solid and use cylindrical shells to compute the volume. Include diagrams of the shape itself and a single cylindrical shell. Then draw a picture of the "cut and unrolled" shell and label the dimensions of the resulting rectangular slab. Write down an expression for din terms of x and dr before setting up and computing the final integral for the volume.

6. The region bounded by y=e*, y=0, x=0 and x = 1 is rotated about the y-axis. Sketch the resulting solid and use cylindrical shells to compute the volume. Include diagrams of the shape itself and a single cylindrical shell. Then draw a picture of the "cut and unrolled" shell and label the dimensions of the resulting rectangular slab. Write down an expression for din terms of x and dr before setting up and computing the final integral for the volume.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...

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