12. A company is constructing a cylindrical can for a new product. They want to keep the cost of producing the can low and have decided, based on the cost of materials, that the can will have a total surface area of 24 square inches. Use calculus to determine the maximum volume of the can. Round to the nearest hundredth. Include units. SA = 2πr² + 2πrh V = πr²h

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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12. A company is constructing a cylindrical can for a new product. They want to keep
the cost of producing the can low and have decided, based on the cost of materials, that
the can will have a total surface area of 24 square inches. Use calculus to determine
the maximum volume of the can. Round to the nearest hundredth. Include units.
SA = 2πr² + 2πrh
V = πr²h
Transcribed Image Text:12. A company is constructing a cylindrical can for a new product. They want to keep the cost of producing the can low and have decided, based on the cost of materials, that the can will have a total surface area of 24 square inches. Use calculus to determine the maximum volume of the can. Round to the nearest hundredth. Include units. SA = 2πr² + 2πrh V = πr²h
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