SOLUTION: A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm from the top with water. If a golf ball 4 cm in diameter is dropped into the glass, will the water overflow?

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Question 306107: A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm from the top with water. If a golf ball 4 cm in diameter is dropped into the glass, will the water overflow?
Answer by Alan3354(69443) About Me  (Show Source):
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A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm from the top with water. If a golf ball 4 cm in diameter is dropped into the glass, will the water overflow?
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The height of the glass is not relevant.
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The space in the glass is
V+=+pi%2Ar%5E2%2Ah+=+pi%2A16%2A1+=+16pi
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The volume of the ball is:
4%2Api%2Ar%5E3%2F3+=+4%2Api%2A8%2F3+=+32pi%2F3
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The space is greater, so no overflow