________________
yield the correct result (3 x 72 rajjuy) for the given values. This may be called an 'adapted' formula.
Volume of a trapezoidal and a hexagonal prisms combined:
muhasahidamūlamajjham chettūņaddhena sattavaggeņa hastūņegațshakade ghaṇarajjū homti logamhi ||
When one has cut in half the base (a) and the middle (line) (m) (each) increased by the top (b or c), multiplied (the result) by the square of seven, and made (them) into one, there will be the cubic rajjus (V) of the World. (Stanza 1 cited in the Dhavalā on CK 1.4.2; vol. 4, p. 146)
V=470*7* + 6* * 72
This is also an 'adapted' formula.
Circles and Cylinders
The volumes of cylindrical spaces with circular bases are calculated several times. Let V and h be respectively the volume and the height of a cylinder, and d, C and A be respectively the diameter, the circumference and the area of its base. The formula for the volume, V=Ah, is taken for granted by Vīrasena.
Area of a circle:
vyāsārdhakrtitrikaṁ samastaphalam
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