Concept explainers
An Aluminum Can The cost of making a can is determined by how much aluminum A, in square inches, is needed to make it. This in turn depends on the radius r and the height h of the can, both measured in inches. You will need some basic facts about cans. See Figure 2.107.
The surface of a can may be modeled as consisting of three parts: two
In what follows, we assume that the can must hold 15 cubic inches, and we will look at various cans holding the same volume.
a. Explain why the height of any can that holds a volume of 15 cubic inches is given by
b. Make a graph of the height h as a function of r, and explain what the graph is showing.
c. Is there a value of r that gives the least height h? Explain.
d. If A is the amount of aluminum needed to make the can, explain why
e. Using the formula for h from part a, explain why we may also write A as
Trending nowThis is a popular solution!
Chapter 2 Solutions
EBK FUNCTIONS AND CHANGE: A MODELING AP
Additional Math Textbook Solutions
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
A Graphical Approach to College Algebra (6th Edition)
Elementary Linear Algebra: Applications Version
Algebra And Trigonometry (11th Edition)
Graphical Approach To College Algebra
Algebra and Trigonometry (6th Edition)
- Area of a Tabletop Yuki bought a drop-leaf kitchen table. The rectangular part of the table is a 1-ft by 3-ft rectangle with a semicircle at each end. as shown. (a) Find the area of the table with one leaf up. (b) Find the area of the table with both leaves up.arrow_forwardA copper casting is in the shape of a prism with an equilateral triangle base. The length of each base side is 17.80 centimeters, and the casting height is 16.23 centimeters. Copper weighs 8.8 grams per cubic centimeter. Determine the weight of the casting in kilograms. One kilogram equals 1000 grams. Round the answer to 2 decimal places.arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill