A cylinder inside a cylinder

Geometry Level pending

A steel cylinder with unit base radius is covered by an homogeneous layer of rubber of constant thickness. Knowing that if you invert the two materials the total weight will remain the same what is approximately the thickness of the rubber layer (in cm, rounded to 3 decimal places)?

1.414cm 1cm 0.414cm None of the above It depends on the lenght of the bar

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1 solution

Andrea Virgillito
Feb 23, 2017

In the trasversal section the volume of the two materials most be the same, thus the circular crown must have an area of pi. Once determined the radius of the crown you have to subtract 1 that leads to 2 \sqrt{2} -1=0.414cm

Sorry, but I couldn't understand your question as well as the answer. It would be great if you could help me. Thank you!

Kaushik Chandra - 4 years, 3 months ago

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I've changed the text :) it's better now?

Andrea Virgillito - 4 years, 3 months ago

Still trying to figure it out. Thanks for replying :):):):):)

Kaushik Chandra - 4 years, 2 months ago

@Terry Chadwick Imagine an electric wire..or a candy :)

Andrea Virgillito - 4 years, 2 months ago

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