## Trending News

Promoted

# flux calculation

find the flux of F=( x-y+z , y-z+x , z-x+y ) outward through the cone z=sqrt(x^2+y^2) , 0<=z<=2

### 1 Answer

Rating

- mathmanliuLv 79 years agoFavorite Answer
div(F)= 1+1+1=3

∫∫ F∙n dA=∫∫∫ div(F) dV = 3*(1/3)π*2^2 * 2 = 8π

Note: The volume of the cone = (1/3)*π*R^2*h= (1/3)π*4*2= (8/3)π

Still have questions? Get your answers by asking now.