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.

What is the radius, r, of the vessel?

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