Consider the hemispherical volume V defined by:

x^2 + y^2 + z^2 =< a^2, z>=0, and denote its closed surface by S.

Define the vector field f=(-y, x, z^2)

a) Evaluate the net outward flux of f through S by direct integration.

{to parameterise the curved surface use spherical polar coordinates}

plz help me its due in a few hours