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)

Answer 1

i get the answer 2pi

Answer 2

@satellite73 could you help me??

Answer 3

Div F = ?

Answer 4

∫∫∫ div F dV

Answer 5

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

Answer 6

the rest is just computation

Answer 7

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

Answer 8

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

Answer 9

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