Torricelli's Trumpet Proof using Method of Indivisibles

  • Thread starter BlackTiger
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Hey am currently struggling with the proof for Torricelli's trumpet (finite volume with infinite surface area for function y=1/x about the x-axis for x > or = to 1) without using the modern notation, i.e., integrals. Any help would be appreciated...

i have found a couple of explanations for using the method of indivisibles but they seem to be few and far between with a lot of it being very very basic and not really giving an understanding of how torricelli himself worked it out before then proving it using integrals in the modern day way so i am looking for any help, be it website links or your own knowledge to point me in the right direction for figuring this all out

many thanks
 

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