SOLUTION: A sphere of diameter 10 cm is carved of a wooden block in the shape of a cube of side 10 cm what percentage of the wood is wasted

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Question 1058833: A sphere of diameter 10 cm is carved of a wooden block in the shape of a cube of side 10 cm what percentage of the wood is wasted

Answer by Theo(13342) About Me  (Show Source):
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volume of a cube of 10 cm persides is equal to 10^2 = 1000 cubic cm.

volume of a sphere with radius = 10/2 = 5 would be 4/3 * pi * 5^3 = 523.5987756 cubic cm.

amount of wood wasted would be 10 - 523.5987756 = 476.4012244 cubic cm.

percent of wood wasted would be 476.4012244 / 1000 * 100 = 47.64012244 percent.

round as required.