When studying the formation of mountain ranges, geologists
Chapter 15, Problem 15.295(choose chapter or problem)
When studying the formation of mountain ranges, geologists estimate the amount of work required to lift a mountain from sea level. Consider a mountain that is essentially in the shape of a right circular cone. Suppose that the weight density of the material in the vicinity of a point is and the height is . (a) Find a definite integral that represents the total work done in forming the mountain. (b) Assume that Mount Fuji in Japan is in the shape of a right circular cone with radius 62,000 ft, height 12,400 ft, and density a constant 200 lbft . How much work was done in forming Mount Fuji if the land was initially at sea level?
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