72 



SPECIFIC GRAVITY OF BROKEN SOLID. 



Let x = the length of one side, 



x 100 = the length of the piece under water; 

 then we have (Art. 25, Cor.), 



z 3 : x* lOOz 2 :: 1.0263 : 0.9214; 

 .-. x : 100 :: 1.0263 : 0.1049; 



.-. x = 978.3 ft, 

 and y? = 936,302,451.687 cu. ft. 



2. A piece of limestone, whose weight is 256.34 Ibs., 

 weighs in water 159.13 Ibs. Find its specific gravity. 



Ans. 2.637. 



3. Find the specific gravity of a piece of cork whose 

 weight is 20 grains. To sink it, we attach a brass weight 

 which, when immersed in the water, weighs 87.22 grains; 

 the weight of the compound body wheh immersed is 23.89 

 grains. Ans. 0.24. 



4. A solid weighing 25 Ibs., weighs 16 Ibs. in a liquid A, 

 and 18 Ibs. in a liquid B. Compare the specific gravities of 

 A and B. Ans. 9 : 7. 



32. Specific Gravity of a Solid broken into Frag- 

 ments. Put the broken pieces into a flask, fill the flask 

 with water, and let its weight be then w" ; let w be the 

 weight of the solid in air, and w' the weight of the flask 

 when filled with water. Then 



w" w'=weight of solid pieces wt. of water they displace 



= w weight of water displaced ; 

 therefore w + w' w" = weight of water displaced ; 



S = 



W 



- ; - , - -,' 



w + w w 



