CD; Then take cross diameters at ei, mn, op, rs, and with the exact altitudes of each division. Suppose the following to be the dimensions taken : ALTITUDES. Upper frustum............ 8.0 inches Middle portion............ 180 inches Lower frustum............ 8.0 inches Cylindrical part.......... 34 inches CALCULATION. 1. For the Upper Frustum. [See page 215.] 42.6 two thirds the square of the depth 200.0 half the square of ei. 648.0 half the square of mn. 890.6 sum Multiply by 8 altitude 294-12) 7124.8 (24.22 wine gallons. 2. For the Middle Portion. [See page 219.] 1296 square of mn, or of rs. 3200 twice the square of op. 4496 sum Multiply by 9 half the altitude 44118) 40464 (91-71 wine gallons. 3. For the Lower Frustum. [See page 215.] 42.6 two thirds the square of the depth 648.0 half the square of rs. 307-5 half the square of CD. 998.1 sum Multiply by 8 altitude 294-12) 7984-8 (27.15 wine gallons. 4. For the Cylinder. [See the Table for Wine.] 24.8 diameter......... 2.09 area Multiply by 3-4 depth 836 627 Product 7.106 wine gallons. Now the sum of these four contents will be the content of the Still-Head as follows: Gallons But, 573.70 content of the Still 150 18 content of the Head Sum 723-88 content of both body and head. Multiply by 3 4) 2171.64 product Quotient 542.91 THREE-FOURTHS THE WHOLE CONTENT. Having thus found three-fourths of the whole content, we are to enter the Table of the Still, and look for the number of gallons the nearest to this content, observing the dry inches opposite. In the present case, the number in the Table, nearest to 543, is 547, opposite to 5 inches dry: consequently, each charge of wash will be when the Still wants five inches of being full. The Wash-Backs, Spirit-Vats, and other Utensils of a Distillery are gaged precisely in the same manner as the Utensils of a Brew-House, except that in the Distillery all areas and contents are calculated in wine gallons. The method of gaging by Equidistant Ordinates has been fully explained and exemplified in the First and Second Sections of Mensuration, and consequently, needs not be repeated. We shall, therefore, only here remark, that when a Wash-Back or other Distillery utensil cannot be accurately measured by any other mode, recourse must be had to the method of Equidistant Ordinates. [See pages 111, and 161.] OF MALT GAGING. As the duty on Malt is charged by the Bushel, the content in Malt Gaging is always calculated in Bushels. For this reason it seems proper, before we proceed farther, to give some account of the present standard Bushel. By act of parliament it has been enacted, that every round Bushel, with a plane and even bottom, being eighteen inches and a half in diameter throughout, and 8 inches deep, shall be esteemed a legal Winchester bushel, according to the STANDARD in His Majesty's Exchequer. The content of any cylindrical vessel of these dimensions being 2150-42 cubic inches, that number of cubic inches, in whatever shape disposed, must be accounted a legal bushel. The vessels employed for measuring bushels, halfbushels, pecks and gallons, are generally cylindrical, with plane bottoms, but their diameters and depths vary considerably from the diameter and depth mentioned in the Act, although in capacity they are all, or ought all, to be the same. That is, the bushel ought to contain 2150-42 cubic inches, the half-bushel 1075-21 cubic inches, the peck 537.6 cubic inches, and the gallon 268.8 cubic inches. The weight of water required to fill each of those measures, is as below: This Table will enable any one in possession of a good beam, and true weights, to try any of the above measures to a great nicety. Half-gallon measures, quarts, and pints, may in the same manner be proved, as they are respectively the half, the fourth, and the eighth-part of a gallon. The following Table will shew the depths to diameters varying from 17.5 to 19.5 inches, for cylinders answering to the bushel, and in proportion for the other measures. |