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Most Egyptologists concluded that the Great Pyramid was built as a tomb for some Pharaoh, presumably Cheops.

Oddly, this is the single function which neither the Great Pyramid, nor any other pyramid, managed to fulfill, there being no reliable report of any body having been found in any of the pyramids.

There are theories which suggest that the Great Pyramid was built as a) an astronomical observatory, b) a shrine of ancient science, c) a temple of secret initiation, d) an almanac of ages, e) a theodolite for surveyors, and so on . . . . As for myself, I think that pyramids were built for water storage. However, pyramids are not empty shells, they are almost completely filled with 80 ton stone blocks. Well, so much for my theory.

But, suppose that pyramids were really empty storage vessels. If so,

  1. a) how much time would it take to fill the Great Pyramid with water if one strong water spring with volumetric flow rate of F = 0.01 [m3/s] was diverted toward the top of Grate Pyramid.
  2. b) Make a diagram that will show the level of water in the Pyramid as a function of time.

Data: The base line of the Great Pyramid is A = 232.75 [m], and its perpendicular main height is H = 148.16 [m] above the center of the base.

  1. Assumptions
  2. List of variables
  3. Mathematical Model
  4. Solution of the Problem
  5. Discussion

Trivia: When you finish the above problem try to discover one of the secrets of the Grate Pyramid. The secret is hidden in numbers that you are using during calculations.

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