Help me guys...
Use Gauss Theorem to evaluate the flux of
G=2x^2zi - 3yz^2j +xz^2k
through the curve of hemisphere
(hemisphere x^2+y^2+z^2=1)

Question

Help me guys... 
Use Gauss Theorem to evaluate the flux of 
G=2x^2zi - 3yz^2j +xz^2k
through the curve of hemisphere 
(hemisphere x^2+y^2+z^2=1)

anonymous · Answer

i get the answer 2pi

anonymous · Answer

@satellite73 could you help me??

anonymous · Answer

Div F = ?

anonymous · Answer

∫∫∫ div F dV

anonymous · Answer

since it's a hemisphere, you need to convert spherical coordinate

anonymous · Answer

the rest is just computation

anonymous · Answer

dV= 1/2pi (thickness)(radius)^3 ??

anonymous · Answer

or i just substitute the V of hemisphere using 2/3pi r^3 ? 
by finding div F firtst.

anonymous · Answer

dV isn't simply the volume. dV is infinitesimally small change in volume. That's why we do the integral. You need to convert dV to spherical co-ordinate