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Let R be the region bounded by the graphs of y=(x)^1/3 and y=e^(-2x) and the line x =1. Find the volume of the solid generated when R is revolved about the line y=1.

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

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

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Let R be the region bounded by the graphs of y=(x)^1/3 and y=e^(-2x) and the line x =1. Find the volume of the solid generated when R is revolved about the line y=1.

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Can you pls show me how did you get this?

ln x = -6x

x = 0.2387

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Follow-up Question

please show in your solution how to get the pt of intersection between curves y=(x)^1/3 and y=e^(-2x)

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please include un your solution the computation for the points of intersection. Thank you

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