EXAMPLE 10th. Suppofe the dimenfions of a tun or ciftern in form of the fruftum of a pyramid, as follows; the length of the greater bafe 96 inches, and its breadth 65.3; the length of the leffer bafe 75.8, and its breadth 42.7 inches; and the depth 40.35 inches; what's the content in malt bufhels? See the remainder of the work in the next page. As 46.35 75.8 :: 42.7 1.505 leffer area. As 2.915: 2.915: 1.505: 2.094 mean. This fum multiply'd by of the depth gives the 6.514 content as before. Note. D C Note. If you wou'd gage a globe, or oval folid, or the fegment or fruftum of a globe, &c. you may work as in menfuration; they being of little ufe in practical gaging. A practical rule for finding the content of any conical tun, copper, by-tub, or cask. Take the diameter fomewhat above the middle, if it be broader at top than at bottom, or on the contrary, fomewhat next to the broadeft end; and thus it is reduc'd to a cylinder: Then multiply the fquare of the diameter by the depth, and divide by the circular divifors, &c. The following is the practical method of inching, gaging, and fixing any tun, copper, &c. in order for the ready cafting up of each gage. Whether the fides are ftraight or not from top to bottom, you are to take your feveral areas as follows; that is, the area to each diameter taken in the middle of every 10 inches from the bottom upwards; thus, the firft diameter at 5 inches from the bottom, the fecond at 15 inches, &c. and each of thefe areas ferve for 10 inches one above the other: A fpecimen of which is in the next page. |