calculating volume of a horizontal cylindrical tank from depth











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Has anyone found a good formula to convert a depth of fluid to a volume remaining in a tank for a cylindrical tank laying horizontal? (with or without half sphere end caps)
Much Thanks!










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migrated from mathematica.stackexchange.com Sep 6 '12 at 15:41


This question came from our site for users of Wolfram Mathematica.















  • Is this a mathematical or Mathematica-related question? If it is generally about math, this question should be migrated...
    – Yves Klett
    Sep 6 '12 at 15:33










  • The version without half sphere end caps was asked here.
    – Américo Tavares
    Sep 6 '12 at 16:11










  • (Pi*r^2)/2 + Sqrt[h]*(h - r)*Sqrt[-h + 2*r] + r^2*ArcTan[(h - r)/(Sqrt[h]*Sqrt[-h + 2*r])]
    – Dr. belisarius
    Sep 6 '12 at 16:14










  • Not a duplicate: This tank has half-sphere end caps.
    – Lord_Farin
    Oct 24 '13 at 10:30















up vote
0
down vote

favorite
1












Has anyone found a good formula to convert a depth of fluid to a volume remaining in a tank for a cylindrical tank laying horizontal? (with or without half sphere end caps)
Much Thanks!










share|cite|improve this question















migrated from mathematica.stackexchange.com Sep 6 '12 at 15:41


This question came from our site for users of Wolfram Mathematica.















  • Is this a mathematical or Mathematica-related question? If it is generally about math, this question should be migrated...
    – Yves Klett
    Sep 6 '12 at 15:33










  • The version without half sphere end caps was asked here.
    – Américo Tavares
    Sep 6 '12 at 16:11










  • (Pi*r^2)/2 + Sqrt[h]*(h - r)*Sqrt[-h + 2*r] + r^2*ArcTan[(h - r)/(Sqrt[h]*Sqrt[-h + 2*r])]
    – Dr. belisarius
    Sep 6 '12 at 16:14










  • Not a duplicate: This tank has half-sphere end caps.
    – Lord_Farin
    Oct 24 '13 at 10:30













up vote
0
down vote

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up vote
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down vote

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1





Has anyone found a good formula to convert a depth of fluid to a volume remaining in a tank for a cylindrical tank laying horizontal? (with or without half sphere end caps)
Much Thanks!










share|cite|improve this question















Has anyone found a good formula to convert a depth of fluid to a volume remaining in a tank for a cylindrical tank laying horizontal? (with or without half sphere end caps)
Much Thanks!







geometry euclidean-geometry






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edited Sep 6 '12 at 15:44









Ross Millikan

289k23195367




289k23195367










asked Sep 6 '12 at 15:31







Geof Thompson











migrated from mathematica.stackexchange.com Sep 6 '12 at 15:41


This question came from our site for users of Wolfram Mathematica.






migrated from mathematica.stackexchange.com Sep 6 '12 at 15:41


This question came from our site for users of Wolfram Mathematica.














  • Is this a mathematical or Mathematica-related question? If it is generally about math, this question should be migrated...
    – Yves Klett
    Sep 6 '12 at 15:33










  • The version without half sphere end caps was asked here.
    – Américo Tavares
    Sep 6 '12 at 16:11










  • (Pi*r^2)/2 + Sqrt[h]*(h - r)*Sqrt[-h + 2*r] + r^2*ArcTan[(h - r)/(Sqrt[h]*Sqrt[-h + 2*r])]
    – Dr. belisarius
    Sep 6 '12 at 16:14










  • Not a duplicate: This tank has half-sphere end caps.
    – Lord_Farin
    Oct 24 '13 at 10:30


















  • Is this a mathematical or Mathematica-related question? If it is generally about math, this question should be migrated...
    – Yves Klett
    Sep 6 '12 at 15:33










  • The version without half sphere end caps was asked here.
    – Américo Tavares
    Sep 6 '12 at 16:11










  • (Pi*r^2)/2 + Sqrt[h]*(h - r)*Sqrt[-h + 2*r] + r^2*ArcTan[(h - r)/(Sqrt[h]*Sqrt[-h + 2*r])]
    – Dr. belisarius
    Sep 6 '12 at 16:14










  • Not a duplicate: This tank has half-sphere end caps.
    – Lord_Farin
    Oct 24 '13 at 10:30
















Is this a mathematical or Mathematica-related question? If it is generally about math, this question should be migrated...
– Yves Klett
Sep 6 '12 at 15:33




Is this a mathematical or Mathematica-related question? If it is generally about math, this question should be migrated...
– Yves Klett
Sep 6 '12 at 15:33












The version without half sphere end caps was asked here.
– Américo Tavares
Sep 6 '12 at 16:11




The version without half sphere end caps was asked here.
– Américo Tavares
Sep 6 '12 at 16:11












(Pi*r^2)/2 + Sqrt[h]*(h - r)*Sqrt[-h + 2*r] + r^2*ArcTan[(h - r)/(Sqrt[h]*Sqrt[-h + 2*r])]
– Dr. belisarius
Sep 6 '12 at 16:14




(Pi*r^2)/2 + Sqrt[h]*(h - r)*Sqrt[-h + 2*r] + r^2*ArcTan[(h - r)/(Sqrt[h]*Sqrt[-h + 2*r])]
– Dr. belisarius
Sep 6 '12 at 16:14












Not a duplicate: This tank has half-sphere end caps.
– Lord_Farin
Oct 24 '13 at 10:30




Not a duplicate: This tank has half-sphere end caps.
– Lord_Farin
Oct 24 '13 at 10:30










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You could see Wikipedia on the area of a circular segment and multiply by the length. If you want spherical end caps, see Wikipedia on a spherical cap. The two ends together make a sphere.






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    1 Answer
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    1 Answer
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    up vote
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    down vote













    You could see Wikipedia on the area of a circular segment and multiply by the length. If you want spherical end caps, see Wikipedia on a spherical cap. The two ends together make a sphere.






    share|cite|improve this answer

























      up vote
      0
      down vote













      You could see Wikipedia on the area of a circular segment and multiply by the length. If you want spherical end caps, see Wikipedia on a spherical cap. The two ends together make a sphere.






      share|cite|improve this answer























        up vote
        0
        down vote










        up vote
        0
        down vote









        You could see Wikipedia on the area of a circular segment and multiply by the length. If you want spherical end caps, see Wikipedia on a spherical cap. The two ends together make a sphere.






        share|cite|improve this answer












        You could see Wikipedia on the area of a circular segment and multiply by the length. If you want spherical end caps, see Wikipedia on a spherical cap. The two ends together make a sphere.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Sep 6 '12 at 15:46









        Ross Millikan

        289k23195367




        289k23195367






























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