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The following problems examine Mount Holly in the state of Michigan. Mount Holly is a landfill that was converted into a ski resort. The shape of Mount Holly can be approximated by a tight circular cone of height 1100 ft and radius 6000 ft.
438. In reality, it is very likely that the trash at the bottom of Mount Holly has become more compacted with all the weight of the above trash. Consider a density function with respect to height: the density at the top of the mountain is still density 400 lb/ft3 and the density increases. Every 100 feet deeper, the density doubles. What is the total weight of Mount Holly?
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