Mr. Lubbock on Cask-Gaging. 329 



These are the rigorous expressions for the content of the 

 cask, considered of either variety, and rules founded upon them 

 are given in Symons's Practical Gager, p. 193. 



The preceding expressions give the result in cubic inches, 

 cubic feet,&c, accordingly as the linear dimensions of the cask 

 b, h, I are expressed in one or the other denomination. The 

 Imperial gallon contains 277*273 cubic inches of water at 62°; 

 and if we consider a gallon of any other fluid to have the 

 same volume at the same temperature, and not as a measure of 

 weight, when the dimensions of the cask, as is usual, are ex- 

 pressed in inches, the expression for the content must be di- 

 vided by 277'273, in order to have the content in Imperial 

 gallons. 



The readiest mode of obtaining accurately the content of the 

 cask, considered either of thefirst or of the third variety, appears 

 to me to be by employing the Tables * given by Symons, p. 2 1 



7T h~ 



and following, which consist, the first of values of— — - 



12 x 2, i i '2 to 



it b~ 



and the second of - — — - for different values of h and b. 



6 x 277-273 



The second and fourth varieties may be rejected altogether, as 

 coinciding with the first and third. Thus: required the con- 

 tent of a cask of the first variety when b = 31*2, h = 26*1, 

 and I = 46-9. I find by the Tables 



«*' . 643 2 



12x277-273- 6 * 3J 



«b % 



6 x 277*273 



sum = 2-4814 



2-4814x46-9 = 116-37 = content of cask in 

 Imperial gallons considered as of the first variety. 



The content of the third variety may be found in the same 

 way. 



* h * *64»2 1 



12x277-273 ~~ I By the Table entitled " Areas of 



, 9 I the Head Diameter." 



taxiwiw " •"",-' 



sum = 1-5623 



3/ 



i = 70 ' 35 

 70-35x1-5623 = 109*91 = content of the cask in Im- 

 perial gallons considered as of the third variety. The extreme 

 difference in t he content, due to the variety, obtained by con- 



• These tables arc hrndnl inaccurately. 

 Third Scries. Vol. 4. No. 23. May 1834. 2 l' 



