Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y=3x+4 and the parabola y=x^2 revolved about the line y = 16

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...
Question

Use the shell method to find the volume of the solid generated by revolving the region bounded by the line

y=3x+4

and the parabola

y=x^2

revolved about the line y = 16

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Thanks for the help. However, the homework program does not accept that as the correct answer. I reworked the problem using a radius of 16 - (1/3y - 4/3) , which is the y=16 line minus the linear function, but I still did not come up with the correct answer. Any ideas?

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9781337614085
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Alexander, Daniel C.; Koeberlein, Geralyn M.
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