A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 117 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.) radius length in
A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 117 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.) radius length in
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.3: Modeling With Linear Equations
Problem 9ECP: A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of...
Related questions
Question
NEED A HELP WITH THIS IN STEPS
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Step 1: Introduce to the given information
VIEWStep 2: Let the variables and find the relationship between the variables
VIEWStep 3: Finding the function for the variable in terms of one variable and differentiating the function
VIEWStep 4: Maximize the volume and find the critical points
VIEWStep 5: Determine the height of the cylinder
VIEWSolution
VIEWTrending now
This is a popular solution!
Step by step
Solved in 6 steps with 10 images
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL