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6 Apart

Author: mathforces
Problem has been solved: 88 times

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Let $ \omega $ be the set of all points in the space such that the distance from each of them to the segment $ AB $ is $ 6 $. It is known that the length of the segment is $ AB = 1 $. The volume of the figure $ \omega $ can be represented as $ \pi \cdot a $. Find the value of $ a $.





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