Question: 1. Evaluate the surface integral $$ iint_{S} y^{2} d S $$ where $S$ is the part of the sphere $x^{2}+y^{2}+z^{2}=1$ and lies above the cone

1. Evaluate the surface integral $$ \iint_{S} y^{2} d S $$ where $S$ is the part of the sphere $x^{2}+y^{2}+z^{2}=1$ and lies above the cone $z=\sqrt{x^{2}+y^{2}}$. 2. Find the flux of the vector field $\mathbf{F} (x, y, z)=z \mathbf{i}+y \mathbf{j}+x \mathbf{k}$ across the sphere $x^{2}+y^{2}+z^{2}=4$. CS.VS. 1592
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