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Divergence Theorem problem

  • Thread starter joemama69
  • Start date
  • #1
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Homework Statement



F = xi + yj + zk, s = x^2 + y^2 + z^2

Homework Equations





The Attempt at a Solution



div F = 1+1+1=3

area of sphere = 4pi

i can just multiply them to get 12pi as an answer right?
 

Answers and Replies

  • #2
dx
Homework Helper
Gold Member
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18
No. You want the volume of the sphere, not the area.
 
  • #3
399
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ooooops

V of sphere = 4/3 pi r^3 where r = 1, V = 4/3 pi

so i got 4pi
 
  • #4
dx
Homework Helper
Gold Member
2,011
18
Correct.
 

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