a.
To calculate: write an equation that gives the height
The equation is
Given information:
A canister of oatmeal with a volume =
Formula used:
The volume of a cylinder:
Calculation:
Given that:
Write
Leave it like this or plug in the volume:
Conclusion:
b.
To calculate: Write an equation that gives the canister's surface area
The surface area:
Given information:
A canister of oatmeal with a volume =
Formula used:
The formula for the surface area of a cylinder,
Calculation:
Given that:
Write
Leave it like this or plug in the surface area:
Conclusion:
c.
To graph: Graph the equation. What are the dimensions
Given information:
A canister of oatmeal with a volume =
Graph:
The minimum of the graph corresponds to the radius for which the surface area is minimized
Interpretation:
Least material used with:
The radius which achieves this is:
The corresponding height is:
Chapter 5 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education