Sphere cut

A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the volume of the segment. What is the distance of the cutting plane from the center of the sphere?

Correct result:

x =  0

Solution:

r=1 x=V1=43 π r3=43 3.1416 134.1888=0



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