Suppose F is a vector field with div F = 10. Find the flush F out of a cylinder of height a and radius a, centered on z-axis and with base in the xy-plane.
By the divergence theorem:
/ /
| div(F) dV = 10 | dV = 10 * (volume of cone radius a & height a)
/W /W
First, is this part right?
Second, Is there a way to calculate the flux however without knowing the volume of a cone with radius a and height a?