course Mth 173
This is Week 3 Quiz #3 Version 1
Your work has been received. Please scroll through the document to see any inserted notes (inserted at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.
6.1 m * 5000.939 kg = 30505.7279 m * kg
30505.7279 m * kg/2.1 m = 14526.5371 kg
Volume is proportional to the cube of the linear dimensions. You would need to use the proportionality
y = k x^3, or if you prefer V = k h^3,
or equivalently set the ratio of volumes equal to the cube of the ratio of linear dimensions:
V2 / V1 = (h2 / h1)^3.
"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?"
I used the same type of equation to find the number of grains.
1.323 * 10^9 grains / 2.1 m = x grains / 6.1 m
1.323 * 10^9 grains * 6.1 m = 8.0703 * 10^9 grains * m
8.0703 * 10^9 grains * m/2.1 m = 3.843 * 10^9 grains
Grains are exposed on the surface, so the proportionality is with surface area.
Surface area is proportional to the square of the linear dimensions. You would need to use the proportionality
y = k x^2, or if you prefer A = k h^2,
or equivalently set the ratio of volumes equal to the cube of the ratio of linear dimensions:
A2 / A1 = (h2 / h1)^2.