The discussion revolves around using the shell method to find the volume of solids generated by revolving a region defined by the equation x=18(y^2 - y^3) about the line y=8/5. Participants are exploring the setup and interpretation of the problem.
Some participants have provided guidance on the integral setup, noting the importance of including the differential in the expression. There is an ongoing exploration of the assumptions regarding the bounded region and the implications for the integral.
There is a mention of potential missing information regarding the boundaries of the region, specifically whether the y-axis is included in the setup. Participants are also considering the implications of omitting the differential in the integral.
This single equation does not define a bounded region. Was there some other line or curve given, such as the y-axis (x= 0)?whatlifeforme said:Homework Statement
use the shell method to find the volumes of the solids generated by revolving the region about the indicated axis.
Homework Equations
x=18(y^2 - y^3) about line y=8/5.i
The Attempt at a Solution
2∏∫ (0 to 1) (8/5 - y) (18y^2 - 18y^3)
whatlifeforme said:2∏∫ (0 to 1) (8/5 - y) (18y^2 - 18y^3) dy[/color]