SOLUTION: A metal container that is in a form of a cube is filled to the brim with water and has a height of 10 cm. If a round ball was placed in the container and it displaced 562.5 pi cubi

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Question 337075: A metal container that is in a form of a cube is filled to the brim with water and has a height of 10 cm. If a round ball was placed in the container and it displaced 562.5 pi cubic cm of water, find the radius of the ball and the amount of water left in the container.
Answer by Alan3354(69443) About Me  (Show Source):
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A metal container that is in a form of a cube is filled to the brim with water and has a height of 10 cm. If a round ball was placed in the container and it displaced 562.5 pi cubic cm of water, find the radius of the ball and the amount of water left in the container.
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For a spehere Vol+=+4%2Api%2Ar%5E3%2F3
562.5+=+4%2Api%2Ar%5E3%2F3
r%5E3+=+562.5%2A3%2F4pi+=+134.287
r =~ 5.12 cm
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The cube has a volume of 10^3 = 1000 cc
The water left = 1000 - 562.5 = 437.5 cc