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A 160-lb man carries a can of paint up a helical staircase that encircles a silo with a radius of 20 ft. The can initially weighs 25 lb but steadily leaks 9 lb of paint during the man's ascent. If the silo is 90 ft high and the man makes exactly three complete revolutions, how much work is done by the man against gravity in climbing to the top?

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