Sand pile, volume

E.2 (a) About 1000 metric tons of sand contain about a trillion (1012) grains of sand. How many metric tons of sand are needed to provide 1 mol of grains of sand (b) Assuming the volume of a grain of sand is 1 mm3 and the land area of the continental United States is 3.6 X 106 mi2, how deep would the sand pile over the United States be if this area were evenly covered with 1 mol of grains of sand ... 

The Problem Sand is falling off a conveyer belt and forming a conical shape as the falling sand runs down the sides of the pile. If the height of the pile is always one-third the diameter, then by how much does the volume of the pile change when the pile grows from 10 feet tall to 12 feet tall ... 

Find the volume of a pile of sand that s 10 feet tall and compare it to the volume of a pile of sand that s 12 feet all. The pile of sand that s 10 feet tall has a diameter of 30 feet — which means a radius of 15 feet. The pile of sand that s 12 feet tall has a diameter of 36 feet — or a radius of 18 feet. 

Although end-bearing pile is an effective protection measure of buildings from subsurface liquefaction, it is not perfect. Because water and sand are ejected after liquefaction (Fig. 30), the volume of subsoil contracts, leading to... 

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