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Molten metal can be poured into the pouring cup of a sand mold at a steady rate of 1000 cm/s. The molten metal overflows

 

Molten metal can be poured into the pouring cup of a sand mold at a steady rate of 1000 cm/s. The molten metal overflows the pouring cup and flows into the downsprue. The cross-section of the sprue is round, with a diameter at the top = 3.4 cm. If the sprue is 25 cm long, determine the proper diameter at its base so as to maintain the same volume flow rate.

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