a.
To calculate: An expression for the efficiency ratio
The efficiency ratio
Given information:
The surface area for a cylinder:
The volume for a cylinder:
Concept used:
Algebraically simplifying the equations
Calculation:
The surface area for a cylinder:
The volume for a cylinder:
Now, For the efficiency ratio
Conclusion:
b.
To calculate: The efficiency ratio for each can list in the table.
The efficiency ratio:
For soup can =
For coffee can =
For paint can =
Given information:
The surface area for a cylinder:
The volume for a cylinder:
Soup can | Coffee can | Paint can | |
Height, | |||
Radius, |
Formula used:
The efficiency ratio:
Calculation:
According to given table:
Apply the formula for efficiency ratio:
The efficiency ratio:
Soup can | Coffee can | Paint can | |
Height, | |||
Radius, |
The efficiency ratio for soup can:
The efficiency ratio for soup can:
The efficiency ratio for soup can:
Conclusion:
The efficiency ratio:
For soup can =
For coffee can =
For paint can =
c.
To calculate: According to efficiency, rank the three cans. Explain your ranking.
According to efficiency, rank the cans: Paint, coffee, soup
The lower the ratio, the more efficient it is, because then it takes less material (surface area) per (volume).
Given information:
The surface area for a cylinder:
The volume for a cylinder:
Concept used:
The efficiency ratio:
Calculation:
Apply the efficiency ratio:
The efficiency ratio:
For soup can =
For coffee can =
For paint can =
According to efficiency, rank the cans:
Paint, coffee, soup
The lower the ratio, the more efficient it is, because then it takes less material (surface area) per (volume).
Conclusion:
Chapter 5 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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