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b) We want to build a container in the shape of a cylinder and it needs the materials shown below. This container will have a volume of 27(m³). Both top and bottom need to be double thickness, as shown on the picture below. Using Calculus only, calculate the value of the radius that will result in the minimum surface area or amount of material required to build this container.

b) We want to build a container in the shape of a cylinder and it needs the materials shown below. This container will have a volume of 27(m³). Both top and bottom need to be double thickness, as shown on the picture below. Using Calculus only, calculate the value of the radius that will result in the minimum surface area or amount of material required to build this container.

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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use a very shortes way to calculate the radius appart from the calclus way. 

b) We want to build a container in the shape of a cylinder and it needs the materials shown below. This container will have a volume of 27(m³). Both top and bottom need to be double thickness, as shown on the picture below. Using Calculus only, calculate the value of the radius that will result in the minimum surface area or amount of material required to build this container.
Transcribed Image Text:b) We want to build a container in the shape of a cylinder and it needs the materials shown below. This container will have a volume of 27(m³). Both top and bottom need to be double thickness, as shown on the picture below. Using Calculus only, calculate the value of the radius that will result in the minimum surface area or amount of material required to build this container.
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