#$&*
Mth 173
Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** **
Randomized Prob week 3 Q3 version 1
#$&*
course mth 173
02/7 7:35
Solve 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?
V=k*y
5000.939/2.1 = x/6.1
5000.939(6.1)/2.1=x
X=14526.5371
6.1=k(2.1)
K=2.90476
Direct proportion
1.323/2.1 = x/6.1
X=3.843 billion
K=2.90476
Direct
@& Volume and area are not directly proportional to the diameter, or the height, or any other linear dimension of two geometrically similar objects.
Better review the modeling assignment to see if you can get the right idea, then rework this one. It's not difficult if you see the correct proportionalities.*@
** **
Okay in the above problem you ask for the problem to be sovled by stating the appropriate proprtionality law and finding the proportionality constant. I can't find what the laws of proportionality are. I see direct and inversely proportional that I found the book and I saw where you mention direct prop in your notes. Are those the two that you are refering to as the laws of prop. I have reviewed modeling project 3 that dealt with sand piles but I don't see how that would help me to sovle this problem. I can't see the connection. Maybe I am overlooking something, but I am not grasping this concept.
** **
Is the proportionality constant correct? Could I get a worked problem similar to this one as an example? What are the laws of proportionality?
@& Modeling Project 3, in Assignment 6, explains how the proportionalities related to volume and surface area behave.
That modeling project was assigned with Assignment 6, and this problem arises in Assignment 7. If you missed the Modeling Project you should return to it and complete it.
If you have completed it, you should review it for answers to your questions. I could give you a brief synopsis here, but you need to see it in the context of that project.*@