SOLUTION: A sphere of radius Z is inscribed inside a cube of side length 4. Let v be a vertex of the cube. Let s be the set of points inside the cube and outside the sphere which are close
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Question 972793: A sphere of radius Z is inscribed inside a cube of side length 4. Let v be a vertex of the cube. Let s be the set of points inside the cube and outside the sphere which are closer to v than any other vertex on the cube. What is the volume of s?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A sphere of radius Z is inscribed inside a cube of side length 4. Let v be a vertex of the cube. Let s be the set of points inside the cube and outside the sphere which are closer to v than any other vertex on the cube. What is the volume of s?
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The total volume outside the sphere and in the cube is
The cube has 8 vertices --> the volume asked for = over 8.
=
That volume includes points closer to a vertex AND equidistant from an adjacent vertex.
--> Vol <
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