Homework Help Overview
The problem involves finding the volume of a solid obtained by rotating a region bounded by the curves y=x^2, y=4, and x=0 about the line x=-2 using the shell method. The original poster expresses confusion regarding the discrepancy between results obtained using different methods.
Discussion Character
- Exploratory, Assumption checking
Approaches and Questions Raised
- The original poster attempts to apply the shell method and provides an integral setup, while expressing uncertainty about the correctness of their answer compared to the disk method. Some participants question the validity of the original poster's reasoning regarding the correctness of their results.
Discussion Status
Some participants have indicated agreement with the original poster's shell method result, suggesting that there may be a misunderstanding or error in the original poster's calculations. The discussion appears to be exploring the differences in results without reaching a definitive conclusion.
Contextual Notes
The original poster's confusion stems from differing results obtained through the shell method and the disk method, with no explicit consensus on the correct answer being reached in the discussion.