Hand book of calculations for engineers and firemen : Relating to the steam engine, the steam boiler, pumps, shafting, etc. . iameter is4 feet, and height or length 7£ feet? 44 16 .785416 47124 7854 of base in square or length in feet 628320879648 Answer, 94.; 4b00 cubic feet. Hand Book of Calculations. °5 To find the Cubic contents of a Sphere. .7854 by the cube of the diameter, and then take § of the product. Example. Find the cubic contents of a sphere whose diameter is 5 feet* 55 .7854125 255 25 = 53 3927015708 7854 2 3) Answer, 65.
Hand book of calculations for engineers and firemen : Relating to the steam engine, the steam boiler, pumps, shafting, etc. . iameter is4 feet, and height or length 7£ feet? 44 16 .785416 47124 7854 of base in square or length in feet 628320879648 Answer, 94.; 4b00 cubic feet. Hand Book of Calculations. °5 To find the Cubic contents of a Sphere. .7854 by the cube of the diameter, and then take § of the product. Example. Find the cubic contents of a sphere whose diameter is 5 feet* 55 .7854125 255 25 = 53 3927015708 7854 2 3) Answer, cubic find the cubic contents of a Frustrum of a Cone.[A frustrum of a cone is the lower portion of a cone left afterthe top piece is cut away. Rule. Find the sum of the squares of thetwo diameters (d, D), add on to thisthe product of the two diametersmultiplied by .7854, and by one-third the height (h.) Example. Find the cubic contents of a safety valve weight of the fol-lowing dimensions:—12 large diameter, 6 small diameter, 4thick. Now: 144+36+72 = ^ Ac. cubic lo6 Hand Book of Calculations. VULGAR FRACTIONS. A fraction means a part of anything. If an apple be cutinto eight equal parts each part will be called an eighth of thewhole apple, and is written -g-. This eighth is a fraction. Ifwe had 3 or 5 or 7 of these pieces of the apple, we would rep-resent it by §, £> or $, as the case might be. All these arefractions. A yulgar fraction is always represented by two numbers (atleast), one over the other and separated by a small horizontalline. The one above the line is always called the Numerator,and the one below the line the Denominator. The denominator tells us how many parts the whole thinghas been divided into, and the numerator tells us how many ofthose parts we have. Thus in the fraction f above, the eightis the denominator, and shows that the apple has been dividedinto eight equal parts; and three is the num
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