is 32 feet 6 inches, and its mean girt 5 feet 10 inches. Answ. 69-119 cubic feet; or, more correctly, 87.9 feet. 22. Given the length of a piece of squared timber 31 feet 4 inches, and its breadth and depth at the middle = 2 feet 7 inches, and one 1 foot 9 inches respectively. Required its content. Answ. 141-65 cubic feet. 23. Given the girts of a round tree at the ends, and at two intermediate points equally distant from them and from each other, equal to 10 feet 6 inches, 5 feet 6 inches, 8 feet 8 inches, and 7 feet respectively, and the length 21 feet 5 inches. Required the content. Answ. 83.89 cubic feet; or, more correctly, 106-8 feet. RULE VII. To find the content of a common cask in gallons: (1) To the square of the head diameter add double the square of the bung diameter, and from the sum take fourtenths of the square of the difference of those diameters: (2.) Multiply the remainder by the length: (3.) Then multiply the result by 0012, to find Irish liquid gallons; by 0011, to find English wine gallons; or by 0009, to find English ale gallons. The result thus found in Irish gallons may be corrected by adding to it a four-hundredth of itself. Ex. 24. If the head diameter of a cask be 25 inches, the bung diameter 34 inches, and the length 43 inches, how many gallons does it contain? Answ. 150 Irish, 141 wine gallons, or 115% ale gallons. Ex. 25. Given the length of a rectangular field = 15 perches: required its breadth so that it may contain an acre. Answ. 103 perches. 26. If a horse be bound in the middle of a field by a cord, one end of which is fixed at a certain point; what must be the length of the cord, that the horse may be allowed to graze on exactly an acre? Answ. 7.1365 perches. 27. Given the height of a stone column in form of a frustum of a cone 28 feet 6 inches, and the diameters of its ends 3 feet, and 2 feet 3 inches, respectively. Required its weight, a cubic foot of the stone weighing 2568 ounces, avoirdupois. Answ. 11 tons, 2 cwt. 2 qrs. 3 lbs. 28. Required the diameter of a circle whose area is a square foot. Answ. 13.54054 inches. 29. Required the diameter of a globe whose content is a cubic foot. Answ. 14.8884 inches. 30. Given the diameter of the base of a cone its content 50 cubic feet: required its height. nearly. 50 inches, and Answ. 11 feet |