By the general rule. 8X.55 4.4 and 24+4.4-28.4 the mean diameter. 28.4 X 28.4.00278 X 40=89.8 ale gallons. A cafk of the 1ft variety is the most capacious, and one of the 4th the leaft capacious. The fpindle is most used. We have now fhewn the method by which casks (when full) may be gauged, both by the pen and rule. It now remains to point out a method by which cafks, that are not full, may be gauged, and this is called ullaging. PROBLEM X. To find the ullage of a cask. A cask may either stand on its end, with its axis perpendicular to the horizon, fig. 6. or ly with its axis parallel to the horizon, fig. 7. RULE I. When flanding-Divide the wet inches by the length of the cafk;' and, if the quotient exceeds .5, add of the excefs to the faid quotient: but, if it be lefs than .5, fubtract part of the deficiency, fo will the fum or remainder be a multiplicand, by which if you multiply the content, the product will be the quantity of liquor. RULE IL. When lying-Divide the wet inches by the bung diame ter; ter; find the quotient among the verfed fines in the table of circular fegments, and multiply the correfponding area by the whole content of the cafk, and the product gives the liquor in the cask. 34.6710000 Anf. 34.671 gall. in the cask. If, inflead of the wet inches, you divide by the dry, and proceed as the rule directs, the refult will be vacuity. 1 Note. The nearer the form of the cafk approaches to a cylinder, the more exact will the tables give the ullage; but when the bung diameter is much greater than the head diame ter, the line of fegments is truer than the tables. By the Sliding rule. When lying. 1, Set the bung diameter upon the line of numbers to 100 upon the line of fegments; then against the wet inches on the line of numbers is a fourth number; which reserve. 2d, Set 100 upon B to the whole content upon A, and against the reserved number is the answer. When When ftandiug. 1, Set the length of the cask on the line of numbers, to 100 on the line of fegments; then against the wet inches on the line of numbers is a fourth proportional, which referve. 2d, Set 100 on B to the whole content on A; then against the reserved number on B is the ullage required. To gauge a floor of malt. RULE I. Measure the length and breadth of the floor, and take a number of depths by your gauging-rod, and divide their fum by their number, the quotient will give a mean depth, RULE II. Multiply the length, breadth, and depth continually, and divide the product by 2150; the quotient gives the number of bufhels. EXAMPLE, A rectangular malt floor is 490 inches long, 368 inches broad; the depths, taken in feveral places, are as follow; |