Given: Three metal pieces being cast have the same volume of but different shapes: One is a sphere, one a cuboid with 3a=2a=a , and the other a cylinder with its height double to its diameter. Assume...

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Extracted text: Given: Three metal pieces being cast have the same volume of but different shapes: One is a sphere, one a cuboid with 3a=2a=a , and the other a cylinder with its height double to its diameter. Assume that n = 2. Total solidification time is dependent on the size and shape of the casting by an empirical relationship known as Chvorinov's rule, which states TST-total solidification time C-mold constant V"-volume of the casting A-surface area of the casting n-constant, usually n=2 m TST = C. A m Find: Which piece will solidify the fastest, and which one the slowest?