Question 1117255
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Unoccupied volume = volume of the cube with the edge of 1 unit long - (minus) volume of the sphere of the radius {{{1/2}}} = 


= 1^3 - {{{(4/3)*pi*(1/2)^3}}} = {{{1 - (4/3)*pi*(1/8)}}} = {{{1 - pi/6}}}.


<U>Answer</U>.  Unoccupied volume inside the cube is  {{{1 - pi/6}}} of cubic units.
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Solved.