A soup can in the shape of a right circular cylinder of radiusr and height h is to have

Chapter 4, Problem 32

(choose chapter or problem)

A soup can in the shape of a right circular cylinder of radius \(r\) and height \(h\) is to have a prescribed volume \(V\). The top and bottom are cut from squares as shown in Figure Ex-32. If the shaded corners are wasted, but there is no other waste, find the ratio \(r / h\) for the can requiring the least material (including waste).

                

Equation Transcription:

Text Transcription:

r

h

V

r/h

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