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Bonus Problem Mineral ore with a density of 357 lbs / fts is loaded onto a conveyor belt at a rate of 500 Pbs /

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Bonus Problem Mineral ore with a density of 357 lbs / fts is loaded onto a conveyor belt at a rate of 500 Pbs / min. It is poured onto a conical pile whose ratio of radius to height is 3:4. How fast is the diameter of the pile growing when the height reaches 50 ft? 1670

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