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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
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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)
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