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Deformed cylinder and its final volume

A cylindrical shell is deformed as shown in the diagrams. Find a relationship between the given quantities, if the initial and final volumes are the same.


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Following is the text part of the solution. Please refer to the attached solution file for complete solution along with diagrams, and symbols. Thank you for using Brainmass.

Before deformation,

-------- diagram 1 -------------------

V = π(R2 - r2)Lo

After deformation:

-------- diagram 2 -------------------

Vo = V1 + 2 V2

V1 ...

Solution Summary

Solution to this problem is provided in a 3-page word document. I have included 3 diagrams. Diagrams illustrate the initial and final state of the cylindrical shell and describes the technique of finding the final volume using calculus. Each and every step is shown very clearly.