A 200-lb man carries a 10-lb can of paint up a helical staircase that encircles a silo with radius 25 ft. The silo is 80 ft high and the man makes exactly four complete revolutions. Suppose there is a hole in the can of paint and 6 lb of paint leaks steadily out of the can during the man's ascent. How much work is done by the man against gravity in climbing to the top?
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