SOLUTION: A hollow cylinder has radius r cm and height 6r cm. 3 spheres, also of radius r cm, are put into the cylinder. Work out the proportion of the cylinder that is not filled by the

Algebra ->  Proportions  -> Lessons -> SOLUTION: A hollow cylinder has radius r cm and height 6r cm. 3 spheres, also of radius r cm, are put into the cylinder. Work out the proportion of the cylinder that is not filled by the      Log On


   



Question 1076545: A hollow cylinder has radius r cm and height 6r cm.
3 spheres, also of radius r cm, are put into the cylinder.
Work out the proportion of the cylinder that is not filled by the spheres.

Answer by Alan3354(69443) About Me  (Show Source):
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A hollow cylinder has radius r cm and height 6r cm.
3 spheres, also of radius r cm, are put into the cylinder.
Work out the proportion of the cylinder that is not filled by the spheres.
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Cylinder:
Vol+=+pi%2Ar%5E2%2Ah+=+6pi%2Ar%5E3
3 spheres:
Vol+=+4pi%2Ar%5E3