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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. ст Hint: Surface area of a (right) cylinder = 27r² (area of bases) + 2rrh (lateral area)

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. ст Hint: Surface area of a (right) cylinder = 27r² (area of bases) + 2rrh (lateral area)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 = 27² (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 = 27² (area of bases) + 2πrh (lateral area)
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