. Sheet metal workers' manual; a complete, practical instruction book on the sheet metal industry, machinery and tools, and related subjects, including the oxy-acetylen welding and cutting process . igure 67. der. The product will be the cubic contents of the cyl-inder. To find the superficial area of a cylinder.—Multiplythe circumference of one end by the length of the cylin-der and add to the product the area of both ends. Cylinder: Cubic contents = .7854 (D + H). Superficial area= (2H + D). , To find the cubic contents of a cone.—Figure 67. Mul-tiply the square of the base by the pe
. Sheet metal workers' manual; a complete, practical instruction book on the sheet metal industry, machinery and tools, and related subjects, including the oxy-acetylen welding and cutting process . igure 67. der. The product will be the cubic contents of the cyl-inder. To find the superficial area of a cylinder.—Multiplythe circumference of one end by the length of the cylin-der and add to the product the area of both ends. Cylinder: Cubic contents = .7854 (D + H). Superficial area= (2H + D). , To find the cubic contents of a cone.—Figure 67. Mul-tiply the square of the base by the perpendicular heightand by .2618. To find the superficial area of a cone.—Multiply the 492 SHEET METAL WORKERS MANUAL circumference of the base by one-half the slant heightand add to the product the area of the base. Cone: Cubic contents = .2618 (D2 X H):Superficial area = .7854D (_2S + D). To find the cubic contents of the frustum of a cone.—Figure 68. To the sum of the areas of the two ends of thefrustum, add the square root of the product of the diame-ters of the two ends; this result multiplied by one-thirdof the perpendicular height of the frustum will give thecubic contents. h~E-. U- D- -J U- — Figure 69. Figure 68. To find the superficial area of the surface of the frus-tum of a cone.—Multiply the sum of the diameters ofthe ends by and by half the slant height. Add tothe result the area of both ends and the sum of the twowill be superficial area. Frustum of cone: Cubic contents: H (.2618 (E2 + D2) VEXD) Superficial area = (® + E^) + .7854 (E2 + D2) S *& E + H2 To find the contents of a cube.—Figure 69. The con-tents are equal to the cube of one of its sides. PRACTICAL GEOMETRY AND MENSURATION 493 To find the superficial area of a cube.—The superficialarea of a cube is equal to six times the square of one of itssides. Cube: Cubic contents = area = 6D2. To find the cubic contents of a rectangular solid.—Figure 70. Multiplying
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