Find the center of gravity of the region in the first octant bounded by x+y+z=1

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Find the center of gravity of the region in the first octantbounded by x+y+z=1

Find The Center Of Gravity Of The Region In The First Octant Bounded By X Y Z 1 1 (35.8 KiB) Viewed 19 times

Let G=(xˉ,yˉ​,zˉ) be the center of gravity of an object. The coordinates of the G is given by, xˉ=∭V​ρdV∭V​xρdV​,yˉ​=∭V​ρdV∭V​yρdV​,zˉ=∭V​ρdV∭V​zρdV​ Where, ρ be the mass of unit volume. Find the center of gravity of the region in the first octant bounded by x+y+z=1.