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 (a)? If not, give at least one reason why your answer to (a) may not be the best According to Google, most soup cans have a volume of 382cm³ with 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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1.
A
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
According to Google, most soup cans have a volume of 382cm3 with
3.25cm and h = 11.51cm. Does this agree with your answer to
(b)
dimensionsr =
(a)? If not, give at least one reason why your answer to (a) may not be the best
in the "real world".
Transcribed Image Text:1. A 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 According to Google, most soup cans have a volume of 382cm3 with 3.25cm and h = 11.51cm. Does this agree with your answer to (b) dimensionsr = (a)? If not, give at least one reason why your answer to (a) may not be the best in the "real world".
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