This small group activity is designed to help students learn how to calculate flux in curvilinear coordinates.
Students calculate the flux of a simple vector field ($\Vec{F}=C\, z\,\hat{k}$) through a cone.
The wrap-up discussion reinforces the concept that only the component of the vector field perpendicular to the surface contributes to the flux and how to find the differential area element on a surface that is not a “coordinate equals constant” surface.
This is a relatively short, strictly computational small group activity that checks whether students understand the conceptual and computational definition of flux.