SEE Kingdom Ppt Importance notes

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Why does Ukraine matter?

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  In case you don’t get it… For those who ask: “Why does Ukraine matter?” This is why Ukraine matters: It is the second-largest country in Europe by land volume and has a population of over 40 million - more than Poland. Ukraine ranks: 1st in Europe in proven recoverable reserves of uranium ores; 2nd place in Europe and 10th place in the world in terms of titanium ore reserves; 2nd place in the world in terms of explored reserves of manganese ores (2.3 billion tons, or 12% of the world's reserves); 2nd largest iron ore reserves in the world (30 billion tons); 2nd place in Europe in terms of mercury ore reserves; 3rd place in Europe (13th place in the world) in shale gas reserves (22 trillion cubic meters) 4th in the world by the total value of natural resources; 7th place in the world in coal reserves (33.9 billion tons) Ukraine is an important agricultural country: 1st in Europe in terms of arable land area; 3rd place in the world by the area of black soil (25% of world's vol...
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Find the square pyramid volume as a function of aa and HH by slicing method

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  The first step is to find the volume of  one  slice of the pyramid. The slice is considered as a square cuboid with side  x x  and infinitesimally small height dh  as shown in blue in the figure below, so we can affirm that the slice’s volume is  d v = x 2 d h d v = x 2 d h . To continue, we need to find a relationship between  x x  and  h h  before applying integration.  h h  is the distance between the cuboid and the pyramid's square base. So to do that, we use  Thales ‘s theorem in the triangle with the orange line segments. We get, x 2 √ a 2 √ = H − h H x a = H − h H    or x = a ( H − h H     ) =   = − ( a H ) 2 ( − H 3 3 ) = − ( a H ) 2 ( − H 3 3 ) = a 2 H 3 3 H 2 = a 2 H 3 3 H 2 = 1 3 a 2 H
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