Find the dimensions of a right circular cylindrical can with both a top and a bottom that holds 5832 cubic cm and is constructed with the least amount of material possible. Radius of can= 9.75 Height of can= 19.5 Area of Material = 1791.885
Find the dimensions of a right circular cylindrical can with both a top and a bottom that holds 5832 cubic cm and is constructed with the least amount of material possible. Radius of can= 9.75 Height of can= 19.5 Area of Material = 1791.885
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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Can someone help me please
![Find the dimensions of a right circular cylindrical can
with both a top and a bottom that holds 5832 cubic cm and is
constructed with the least amount of material possible.
Radius of can=
9.75
Height of can= 19.5
Area of Material = 1791.885](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8afd835b-b164-4187-8cbf-01a7fb9b88d5%2F60dab2dd-2bf2-4c9f-8c56-0205fba898e0%2F73s2h5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the dimensions of a right circular cylindrical can
with both a top and a bottom that holds 5832 cubic cm and is
constructed with the least amount of material possible.
Radius of can=
9.75
Height of can= 19.5
Area of Material = 1791.885
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Step 1: Introduce to the given information
VIEWStep 2: Let the variables and write a relation between height and radius
VIEWStep 3: Writing the function for total surface area and differentiating the function
VIEWStep 4: Finding the critical point for the surface area function
VIEWStep 5: Verifying the surface area is minimum at the critical point using second derivative test
VIEWStep 6: Finding the height of the can and surface area of the material
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