A sphere of constant radius r through the origin intersects the coordinate axes in A, B, and C. What is the locus of the centroid of the triangle ABC?

A sphere of constant radius r through the origin intersects the coordi

1.	A sphere of constant radius r through the origin intersects the coordinate axes in A, B, and C. What is the locus of the centroid of the triangle ABC?
A.	x2 + y2 + z2 = r2
B.	x2 + y2 + z2 = 4r2
C.	9(x2 + y2 +z2) = 4r2
D.	3(x2 + y2 + z2) = 2r2
Answer» D. 3(x2 + y2 + z2) = 2r2

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A sphere of constant radius r through the origin intersects the coordinate axes in A, B, and C. What is the locus of the centroid of the triangle ABC?

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