SOLUTION: A cube has a side length of 6 cm a ball has a diameter of 4 cm what is the volume of the empty space in the cube if the ball is placed inside

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Question 1081033: A cube has a side length of 6 cm a ball has a diameter of 4 cm what is the volume of the empty space in the cube if the ball is placed inside
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+Vcube+=+6%2A6%2A6+cm%5E3+=+216+cm%5E3+

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The empty space is just the volume of the cube minus the volume of the ball:
+Vcube+-+Vball+=++216+-+%2832%28pi%29%2F3%29+=+%28%28648-32%28pi%29%29%2F3%29+cm%5E3+ or about +182.49cm%5E3+