Homework Help is Here – Start Your Trial Now!
Math
Geometry
A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be painted. The cost for painting the base is 1$ per square centimeter, while the sides cost 2$ per square centimeter. Find the dimensions and the minimal cost of painting such a can. Hint: Surface area of a (right) cylinder = 2πr² (area of bases) + 2πrh (lateral area)

A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be painted. The cost for painting the base is 1$ per square centimeter, while the sides cost 2$ per square centimeter. Find the dimensions and the minimal cost of painting such a can. Hint: Surface area of a (right) cylinder = 2πr² (area of bases) + 2πrh (lateral area)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
See similar textbooks
icon
Related questions
Question
3. A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be painted. The cost for painting the base is 1$ per square centimeter, while the sides cost 2$ per square centimeter. Find the dimensions and the minimal cost of painting such a can. Hint: Surface area of a (right) cylinder = 2πr² (area of bases) + 2πrh (lateral area)
Transcribed Image Text:3. A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be painted. The cost for painting the base is 1$ per square centimeter, while the sides cost 2$ per square centimeter. Find the dimensions and the minimal cost of painting such a can. Hint: Surface area of a (right) cylinder = 2πr² (area of bases) + 2πrh (lateral area)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS