flux calculation
2011-05-16 7:53 am
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
回答 (1)
2011-05-16 8:42 am
✔ 最佳答案
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
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