SOLUTION: From a solid cylinder of diameter 30 cm and height 20 cm, a cube of the largest possible volume is chiselled out. Find the volume of the cube.

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Question 619165: From a solid cylinder of diameter 30 cm and height 20 cm, a cube of the largest possible volume is chiselled out. Find the volume of the cube.
Answer by Alan3354(69443) About Me  (Show Source):
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From a solid cylinder of diameter 30 cm and height 20 cm, a cube of the largest possible volume is chiselled out. Find the volume of the cube.
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If the diagonal of the cube is the diameter = 30 cm,
then the sides would be 30/sqrt(2) =~ 21.21 cm
That's more than the height, so the side length is the height = 20 cm
Vol = 20^3 = 8000 cc