Question

Problem 4 (10 pts.) All the materials required to build a pyramid are located at ground-level. The pyramid is built by laying a foundation and lifting material from the ground onto the part already erected. The base of the pyramid on the ground is a square with side 15 m, and the height of the pyramid is 10 m. Find, but DO NOT EVALUATE, an integral that expresses the total work required to lift the material to build the pyramid. Let p (measured in kg/m3) be the density of the material. Draw a sketch showing the pyramid, the origin and the coordinate axis to support your answer. (Note: you can use g 10 s2 for the gravitational constant, or you can leave your answer in terms of p and g).

Answer 1

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