in ten different places, as below; how many gallons are contained in the cooler? 277.3)9219.04(33.24 gallons, the area for one inch deep. 149.580 the content of the wort in the cooler. Divisor. By the Sliding Rule. Length. Breadth. Area. As 277.3 on A: 125.6 on B:: 73.4 on A: 33.24 on B. Unity. Area. And, Content. As 1 on A: 33.24 on B:: 4.5 on A: 149.58 on B. Note. The constant dipping-place may be either at d or h; but it is preferable to find one nearer the side of the cooler, as at r. 2. If the mean depth of warm wort, in the foregoing cooler, be 5.8 inches; how many gallons will there be when the wort is cold? Gallons. 33.24 area. 26592 16620 192.792 gallons of warm wort. 173.5128 gallons when cold. 3. If the mean depth of warm wort in the preceding cooler be 6.4 inches; how many gallons when cold? Ans. 191.4624 gallons. Note 1. The depth of the liquor in a cooler is always taken to the tenth of an fnch; and in order to facilitate the practical part of Gauging, Excise officers generally make a Table, exhibiting the content in barrels, firkins, and gallons, at every tenth of an inch. This is called tenthing a cooler; and may be performed in the following manner: Find the area of the cooler, and reduce it to barrels, firkins, and gallons; which being divided by ten, will give the content at one-tenth of an inch in depth. Add this content to itself, and the sum will be the content at twotenths. Again, to this content add that of the first tenth, and you will obtain the content at three-tenths of the depth. Continue this operation until you arrive at six or seven inches of the depth, which will generally be found sufficient; as the wort in coolers is not often deeper. 2. It has been before observed that coolers are generally rectangular; but should you meet with one of any other shape, its area may be found by the Rules given in Part IL PROBLEM IX. To gauge a cistern, couch, or floor of malt. RULE. Take the dimensions as directed in the last Problem; then multiply the mean length by the mean breadth; divide the product by 2218.2, and the quotient will be the area; which being multiplied by the mean depth, will give the content in bushels. Note 1. According to Act of Parliament, barley must lie under water in the cistern, forty hours; in which time it is supposed to swell or increase to one-fourth more; so that four bushels in twenty are allowed for this increase. From the cistern the barley is removed to the couch; and after having lain there twenty-four hours, it is deemed a floor. The same allowance is made in the couch as in the cistern; but when the corn has been thrown out of the couch into the floor, and there grown according to the usual custom, it is supposed to increase one-half; consequently an allowance is made of ten bushels in every twenty. 2. If cistern or couch-bushels be multiplied by .8, the product will be neat bushels; but floor-bushels must be multiplied by .5, in order to reduce them to Deat bushels. 3. The duty is always charged upon the best gauge of the cistern, couch, or floor; and in order to find from which the charge will arise, without reducing them to neat bushels, proceed thus: Multiply the best gauge of the cistern or couch by 1.6; and if the product exceed the floor bushels, the charge must be made from the cistern or couch; but if not, the charge must be made from the floor. This multiplier is found by dividing eight-tenths by five-tenths. (See the last EXAMPLES. 1. The mean length of a cistern is 96, the mean breadth 64, and the mean depth 32 inches; what is the area and content in malt bushels? 2218.2)6144.0(2.769 area in bushels. By the Sliding Rule. Length. Breadth. Area. As 2218.2 on A: 96 on B:: 64 on A: 2.77 on B. As 1 on A: 2.77 on B:: 32 on A: 88.6 on B. Or, The content may be readily found by means of the line M D, on the Sliding Rule, without knowing the area : thus, Length. Depth. Breadth. Content. As 96 on B: 32 on MD:: 64 on A: 88.6 on B. 2. The mean length of a floor of malt is 115, the mean breadth 112, and the mean depth 4.6 inches; what is its content in floor-bushels ? Inches. 115 length. 112 breadth. 230 115 115 2218.2)12880.0(5.806 area in bushels. Length. Bushels. 5.806 area. 34836 23224 26.7076 content. By the Sliding Rule. Depth. As 115 on B: 4.6 on MD:: 112 on A: 26.7 on B. 3. The mean length of a cistern is 126.4, the mean breadth 62.6, and the mean depth of the barley 32.8 inches; how many neat bushels are contained in the cistern? Inches. 126.4 length. 62.6 breadth. 7584 2528 7584 2218.2)7912.64(3.567 area in bushels. Bushels, 3.567 area. 32.8 depth. 28536 7134 10701 116.9976 content in cistern bushels. .8 multiplier in Note 2. 93.59808 content in neat bushels. 4. If the mean depth of the barley in the foregoing cistern be 38.6 inches; how many neat bushels does it contain? Ans. 110.14896 bushels. 5. The length of a couch is 136.2, the breadth 72.6, and the depth of the barley 42.8 inches; what is its con.ent in neat bushels ? Ans. 152.60768 bushels. 6. If the depth of the barley in the foregoing couch be 46.3 inches; how many neat bushels does it contain? Ans. 165.08728 bushels. 7. The length of a floor of malt is 236, the breadth 212, ind the depth 5.2 inches; what is its content in neat 8. If the best cistern-gauge be 68.4, the best couchgauge 69.8, and the best floor-gauge 109.5 bushels; from which will the charge of the duty arise? Ans. From the couch. Note. In this Problem, we have supposed the cistern, couch, and floor to be in the form of a parallelopipedon, which is most commonly their shape; but their contents may be obtained by the Rules given in Part IV., Section I., whatever form they may assume. PROBLEM X. The performance of this part of Gauging is the most difficult that occurs, as no Rules can be given by which the exact form of casks may be ascertained. There are commonly reckoned four forms or varieties of casks, viz. 1. The middle frustum of a spheroid. 2. The middle frustum of a parabolic spindle. The Rule for finding the content of the 1st variety, is given in Prob. 13. Part VII.; that for the 2d in Prob. 18. Part VII.; that for the 3d in Prob. 16. Part VII.; and the content of a cask of the 4th variety may be obtained by Prob. 8. Sect. I. Part IV.; but it is very probable that there never was a cask that agreed exactly with any of the varieties; for very few casks are to be met with that will contain so much as the first form, or so little as the third or fourth; so that the second variety is the most general form of casks. Note. Excise officers generally consider all casks as belonging to the first variety, and gauge them as such; but this practice ought to be abolished, as being injurious to the Trader. (See Nesbit's and Little's Practical Gauging.) To take the dimensions of a standing cask. Measure the distance between the inside of the chimb, close to the head, and the outermost sloped edge of the opposite staff, which will be the head diameter within the cask, very nearly. In order to find the bung diameter, lay a straight rod AB across the centre of the head, and perpendicular to it, place another straight rod am, so as to touch the bulge of the cask at C; mea A B |