Flux & Divergence Theorem

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?

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ozoConnect With a Mentor Commented:
You can integrate the area of circular slices d height, but after you do so you will know the volume of a cone with radius a and height a
BrianGEFF719Author Commented:
so the answer would be (10 * a^3 *pi)/3
Do you mean cone or cylinder?
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Can you integrate to find the volume?
BrianGEFF719Author Commented:
So there is no way around working with the volume of the cylinder?
or cone, whichever.
you don't need to start knowing the volume, but after you find the flux, you will know the volume by the divergence theorem
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