SOLUTION: The corners of a cubical block touched the closed spherical shell that encloses it. The volume of the box is 2744 cubic cm. What volume in cubic centimeters inside the shell is not

Algebra ->  Volume -> SOLUTION: The corners of a cubical block touched the closed spherical shell that encloses it. The volume of the box is 2744 cubic cm. What volume in cubic centimeters inside the shell is not      Log On


   

Question 1054199: The corners of a cubical block touched the closed spherical shell that encloses it. The volume of the box is 2744 cubic cm. What volume in cubic centimeters inside the shell is not occupied by the block?
Answer by Alan3354(69443) About Me  (Show Source):
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The corners of a cubical block touched the closed spherical shell that encloses it. The volume of the box is 2744 cubic cm. What volume in cubic centimeters inside the shell is not occupied by the block?
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The edges of the cube = root%283%2C2744%29+=+14
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The diameter of the sphere is sqrt%283%2A14%5E2%29
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Find the volume of the sphere, subtract 2744.