________________
CHAPTER VIII-CALÇULATIONS REGARDING EXCAVATIONS. 485
The rule for arriving at the value of the cubical contents of . spherically boundod space :
287. The half of the cube of half the diameter, multiplied by nine, gives the approximate value of the oubical contents of a sphere. This (approximate value), multiplied by nine and divided by ten on noglecting the remainder, gives rise to the aourate value of the cabical measure.
An example in illustration thereof. . 291. In the case of a sphere measuring 16 in diameter, oalou. late and tell me what the approximato value of its) cubioal measure is, and also the acourate measure (thereof).
The rule for arriving at the approximate value as well as tho accurata value of the cubical contents of an excavation in the form of a triangular pyramid, (the height whereof is taken to be equal to the length of one of the sides of the equilateral triangle forming the base) :
304. The oube of half the square of the side of the basal equilateral triangle) is multiplied by ten; and the equare root of the resulting product is) divided by nine. This gives rise to the approximately calculated value (required). This approximate) value, when multiplied by three and divided by the square root of
281. The rolame of a sphere an given bero in (1) approximately= * and (3) acourately= 14
The correct formula for the cubi. calomatonta of sphere is on; and this becomes comparable with the above valne, it is taken to be v Tu. Both the M88. read T4412 Tay, making it appear that the socurato value is of the approximau value, but the text adopted in 1977 a u which iskon the accurate valge
of the approximate one. It is cany to me that this gives more socurata result in regard to the measure of tho cubical contents of a sphere than the other reading.
304. Algebraically represented the approximato valdo of the cabloul contonte of a triangular pyramid socording to the rule oomes to a l.com No, and the courate valae becomes equal to . * V *; whorse
.
