Find the radius of a cylindrical can (with a lid) to contain 1728 cm of water, using the minimum amount of metal. Use symbolic notation and fractions where needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Find the radius of a cylindrical can (with a lid) to contain 1728 cm of water, using the minimum amount of metal.
O Attempt 2
Use symbolic notation and fractions where needed.)
< Feedback
You have not correctly calculated the
radius of the cylinder.
The given volume can be used to isolate
either the radius or height in terms of
radius:
6.503
the other. This can then be plugged into
Incorrect
the function representing the surface
area of the cylindrical can. Afterwards,
the surface area function will be a
single variable function whose critical
points can be obtained by
single-variable methods.
1:31 PM
11/29/200
Question Source: Rogawski de
Transcribed Image Text:Find the radius of a cylindrical can (with a lid) to contain 1728 cm of water, using the minimum amount of metal. O Attempt 2 Use symbolic notation and fractions where needed.) < Feedback You have not correctly calculated the radius of the cylinder. The given volume can be used to isolate either the radius or height in terms of radius: 6.503 the other. This can then be plugged into Incorrect the function representing the surface area of the cylindrical can. Afterwards, the surface area function will be a single variable function whose critical points can be obtained by single-variable methods. 1:31 PM 11/29/200 Question Source: Rogawski de
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