A cylindrical can, open at the top, is to hold 500 cm of liquid. Find the height, h, and the radius, r, that minimize the amount of material needed to manufacture the can.

PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter9: Math Models And Geometry
Section: Chapter Questions
Problem 488PT: A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the...
Question
A cylindrical can, open at the top, is to hold 500 cm of liquid.
Find the height, h, and the radius, r, that minimize the amount
of material needed to manufacture the can.
NOTE: Enter the exact answers.
h =
cm
cm
Transcribed Image Text:A cylindrical can, open at the top, is to hold 500 cm of liquid. Find the height, h, and the radius, r, that minimize the amount of material needed to manufacture the can. NOTE: Enter the exact answers. h = cm cm
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell