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MATHEMATICS - CASE STUDY

    Introduction


Vessel

 

Anson needs to design a high pressure vessel with a volume of 1.5 m3 for AlphaRx Company. The vessel consists of a cylindrical main section, 1 m high, and two hemispherical at each end.What should be the radius of both the two hemispherical ends and cylindrical middle?

What is known:

  • The volume of the vessel, v, is 1.5 m3.
  • The height of the cylindrical part, h, is 1 m.
     
    Questions

 

 

What is the radius, r, of the vessel?

     
    Approach


 
  • The radius of both hemispherical ends and cylindrical middle are the same.
  • The total volume needs to be determined in terms of r.