Find the right length
Geometry
Level
pending
A sphere of radius 1 is cut so that one slice ( a spherical cap ) falls of, the area revieled is 1 how far from the center is the cut to reveale an area of 1
The answer is 0.8256.
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1 solution
Let R be the raduis of the sphere and let r be the radius of the small circle and A be the area The radius, r, of the small circel is (r) is sqrt(A/¶) The pytogerian them you get: x²=R²-(r/¶) hence x =sqrt(R²-A/¶) Puttin in the numbers R=1, and A= 1 you get:0.8256