Sphere cuts

At what distance from the center intersects sphere with radius R = 56 plane, if the cut area and area of the main sphere circle is in ratio 1/2.

Result

x =  39.6

Solution:

x=r1ab=56112=39.6x = r \sqrt{1- \dfrac{a}{b}} = 56 \sqrt{1- \dfrac{ 1}{ 2}} = 39.6



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