Question

Suppose
F
is a vector field with
divF = 92
. Find the flux of
F
out of a cylinder of height a and radius a, centered on the z-axis and with its base in the xy-plane.
Flux =

Answer 1

Do the div of F is 92?
Do you need to use some sort of divergence theorem?

Answer 2

\[
\iiint \nabla \cdot \mathbf F\;dV
\]

Answer 3

I'm not sure @wio

Answer 4

@ganeshie8 for this problem I just need the volume of the cylinder?

Answer 5

It's the same.

Answer 6

so 92pi a^3

Answer 7

\[
\iiint_V \text{div} \ \mathbf F\;dV
\]

Answer 8

Yeah, I think so.

Answer 9

thanks