Integrate the given function over the given surface. \( G(x, y, z)=z^{2} \), over the hemisphere \( x^{2}+y^{2}+z^{2}=16, z \geq

Integrate the given function over the given surface. \( G(x, y, z)=z^{2} \), over the hemisphere \( x^{2}+y^{2}+z^{2}=16, z \geq 0 \) The value of the surface integral is (Type an exact answer, using \( \pi \) as needed.)

Integrate the given function over the given surface. \( G(x, y, z)=z^{2} \), over the hemisphere \( x^{2}+y^{2}+z^{2}=16, z \geq 0 \) The value of the surface integral is (Type an exact answer, using \( \pi \) as needed.)

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