Homework Help Overview
The discussion revolves around the application of the divergence theorem in a problem related to calculating the volume of a cylinder. The original poster attempts to use the theorem to derive a volume expression but encounters a discrepancy in their results.
Discussion Character
- Exploratory, Assumption checking
Approaches and Questions Raised
- Participants question whether the surface integral is over a closed surface and discuss the implications of this on the application of the divergence theorem. There are attempts to clarify the volume being considered in relation to the surface integral.
Discussion Status
There is ongoing clarification regarding the setup of the problem, particularly concerning the volume and surface involved. Some participants provide guidance on recognizing the need to account for the surfaces that contribute to the integral, indicating a productive direction in the discussion.
Contextual Notes
Participants note that the original poster may have misinterpreted the surface area involved, as it pertains to only half of the cylinder rather than the whole. This detail is crucial for the correct application of the divergence theorem.
