Find the centroid and the moment of inertia of the the ellipse :

P= {(x,y,z):X ^2/4 + Y ^2/16<z<3}

with p(x,y,z)=1

use the the ellipse coordinates x = ar cos(phi) y = br sin(phi)

Who can help me with this???

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- Jul 10th 2012, 02:01 PMangel050382Find the centroid of a region?
Find the centroid and the moment of inertia of the the ellipse :

P= {(x,y,z):X ^2/4 + Y ^2/16__<__z__<__3}

with p(x,y,z)=1

use the the ellipse coordinates x = ar cos(phi) y = br sin(phi)

Who can help me with this??? - Jul 10th 2012, 03:06 PMHallsofIvyRe: Find the centroid of a region?
It should be obvious from the symmetry that the x and y coordinates of the centroid are 0. So the question is just the z coordinate. Now, what do YOU know? What are the formulas you can use?