A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom and a top and a volume of 382cm³. (a) of the cans) if they want to minimize the cost of constructing them? How should the company design the cans (i.e. what are the dimensions (b) dimensions r = 3.25cm and h = 11.51cm. Does this agree with your answer to According to Google, most soup cans have a volume of 382cm³ with (a)? If not, give at least one reason why your answer to (a) may not be the best in the "real world".

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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A company needs to manufacture cylindrical cans out of tin, each of which
must have both a bottom and a top and a volume of 382cm³.
(a)
of the cans) if they want to minimize the cost of constructing them?
How should the company design the cans (i.e. what are the dimensions
(b)
dimensions r =
According to Google, most soup cans have a volume of 382cm³ with
11.51cm. Does this agree with your answer to
(a)? If not, give at least one reason why your answer to (a) may not be the best
3.25cm and h
in the "real world".
Transcribed Image Text:A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom and a top and a volume of 382cm³. (a) of the cans) if they want to minimize the cost of constructing them? How should the company design the cans (i.e. what are the dimensions (b) dimensions r = According to Google, most soup cans have a volume of 382cm³ with 11.51cm. Does this agree with your answer to (a)? If not, give at least one reason why your answer to (a) may not be the best 3.25cm and h in the "real world".
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