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course Mth 173
6/23/13~around 9PM
Week3 Quiz 3 Version 1Solve using proportionalities by stating the appropriate proportionality law and finding the proportionality constant:
If a sand pile 2.1 meters high has a mass of 5000.939 kg, then what would we expect to be the mass of a geometrically similar sand pile 6.1 meters high?
If there are 1.323 billion grains of sand exposed on the surface of the first sand pile, how many grains of sand we expect to be exposed on the surface of the second?
Using proportionality y=kx^3
-->Y=kx^3
5000.939=k*2.1^3
solving for k with a value of 539.999
-->Y=kx^3
539.999892*6.1^3=122569.7155kg is the weight of the second sand pile.
using the surface area the proportionality is y=kx^2
Y=kx^2
1.323=k*2.1^2
k=.3
Using the k value with the height of the second pile
-->Y=kx^2
Y=.3*6.1^2=11.163
The second sand pile has a 11.163 billion sand grains exposed on the surface."
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