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
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...
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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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