The Volume Of A Barrel

**Strings (S _{i}P_{j}A_{jk}) = S_{1}P_{1}A_{14} Base Sequence = 127 String Sequence = 127 - 1 - 14 **

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The Volume Of A Barrel

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Determine the approximate volume of the barrel in figure 5.1, if the sides are bent to the arc of a parabola and D = 60 inches, d= 50 inches, and h = 120 inches

**The string**:

S_{1}P_{1}A_{14} (Containership - Volume).
**The math**:

Pj Problem of Interest is of type *containership*. Problems of lengths, areas and volumes are *containership problems*.

Volume of barrel, V = 0.262h(2D^{2} + d^{2})

If sides are bent to the arc of a circle, then:

V = 0.209h(2D^{2} + Dd + (3/4)d^{2}).

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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