Question

∫∫∫ dV = (4/3) πr³

Answer 1

The flux is going to be the surface integral of the vector field. I think that's what you want

Answer 2

change to spherical coordinates

Answer 3

i use the divergence theorem to calculate it, but i got 700pi for this, its not the right answer

Answer 4

does it say you are supposed to use the divergence theorem?

Answer 5

no but i tried to use that method....

Answer 6

could u please show me ur method?

Answer 7

I think the divergence theorem should work, I was just asking...

Answer 8

but my answer is not right, i already calculate it many times

Answer 9

\[\iint\limits_S\vec F\cdot d\vec S=\iiint\limits_E\text{div}\vec FdV\]\[\text{div}\vec F=1-1+5=5\]\[\iiint\limits_E\text{div}\vec FdV=5\iiint\limits_EdV\]is this what you had?

Answer 10

yes

Answer 11

and ∫∫∫ dV = (4/3) πr³=(4/3)pi 1^3=4pi/3

Answer 12

I don't see how you are getting that result for your integral, what bounds are you using?

Answer 13

and then its 20pi/3

Answer 14

yeah

Answer 15

oh!!!! i got the wrong radius!!!

Answer 16

well that'll do it :P

Answer 17

sry!!!! i really made a stupid mistake

Answer 18

thx a lot !!!!

Answer 19

haha, it happens to us all
no prob!