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Find the Mass of That Portion of the Solid Bounded x2+y2+z2=3x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 3

Question 152

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Find the mass of that portion of the solid bounded above by the sphere x2+y2+z2=3x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 3 which lies in the first octant, if the density varies as the distance from the center of the sphere.

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