A fluid has density $870k\frac{g}{m^3}$ and flows with velocity $v=zi+y^{2}j+x^{2}k,$ where $x,y,$ and $z$ are measured in meters and the components of $v$ in meters per second. Find the rate of flow outward through the cylinder $x^2+y^2=16,0z4.$

$k\frac{g}{s}$

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