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Find the centroid of the pyramid in Example 2 with density $\delta(x, y, z)=z$...

Question

Find the centroid of the pyramid in Example 2 with density $\delta(x, y, z)=z$

Find the centroid of the pyramid in Example 2 with density $\delta(x, y, z)=z$



Answers

Centroid Find the centroid of the region in the first octant that
is bounded above by the cone $z=\sqrt{x^{2}+y^{2}}$ , below by the plane
$z=0,$ and on the sides by the cylinder $x^{2}+y^{2}=4$ and the
planes $x=0$ and $y=0$


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