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" To the areas of the two ends of the frustum add the square root of their product ; multiply the sum by the height of the frustum ; and one-third of the product will be the volume. "
Mensuration for Beginners: With Numerous Examples - Page 155
by Isaac Todhunter - 1869 - 296 pages
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The Art of Railroading: Or, The Technique of Modern Transportation, Volume 6

Calvin Franklin Swingle, Frederick John Prior - Air-brakes - 1906 - 676 pages
...cirslant height and ,-i To find the cubic contents of the frustum of a cone— Fig. 56. To the sum of the areas of the two ends of the frustum, add the square root of the product of the diameters of the two ends, this result multiplied by one-third of the perpendicular...
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20th Century Machine Shop Practice: Arithmetic, Practical Geometry ...

Leonard Elliott Brookes - Machine-shop practice - 1906 - 664 pages
...the cirslant hcight and To find the cubic contents of the frustum of a cone— Fig. 56. To the sum of the areas of the two ends of the frustum, add the square root of the product of the diameters of the two ends, this result multiplied by one-third of the perpendicular...
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Practical Mechanical Drawing and Machine Design, Self Taught ...

Charles Westinghouse - Machine design - 1906 - 168 pages
...Superficial area=.7854 (2S+D) To find the cubic contents of the frustum of a cone — Fig. 103. To the sum of the areas of the two ends of the frustum, add the square root of the product of the diameters of the two ends, this result multiplied by one-third of the perpendicular...
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Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - Engineering - 1908 - 556 pages
...by the height, and take onethird of the product. To find the volume of a frustum of a pyramid : — To the areas of the two ends of the frustum add the...height of the frustum and one-third of the product is the volume. Pyrometers. — Thermometers designed for measuring high temperatures, or literally,...
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1908 - 574 pages
...by the height, and take onethird of the product. To find the volume of a frustum of a pyramid : — To the areas of the two ends of the frustum add the...multiply the sum by the height of the frustum and one third of the product is the volume. Pyrometers. — Thermometers designed for measuring high temperatures,...
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Builders' Reliable Estimator and Contractors' Guide: A Complete Guide for ...

Frederick Thomas Hodgson - 1917 - 696 pages
...25-f-3= 8J 7200 300 7500=solidity. Problem VI. — To find the solidity of the frustum of a pyramid. Rule. — To the areas of the two ends of the frustum, add the square root of their product; and this sum, multiplied by J of the perpendicular height, will give the solid contents. NOTE. —...
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Industrial Engineering: A Handbook of Useful Information for ..., Volume 1

William Miller Barr - Engineering - 1918 - 650 pages
...When the ends of the pyramids are not regular polygons, add together the areas of the two ends and the square root of their product; multiply the sum by the height, and one-third of the product will be the solidity. To Find the Solidity of a Wedge.— Rule: Add twice...
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Student's Text Book on Sheet Metal Work: With Technology of Sheet Metal Work

David Alma Graham - Sheet-metal work - 1925 - 204 pages
...capacity of the tank in gallons. To find the cubic contents of the frustum of a cone : To the sum of the areas of the two ends of the frustum, add the square root of the product of the diameters of the two ends; this result multiplied by /^ of the perpendicular height...
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The Practical Lumberman

Bernard Brereton - Logging - 1925 - 156 pages
...OCTAGON OR FRUSTUM OF A PYRAMID Rule: To the sums of the areas of the two ends of the tapering octagon or frustum add the square root of their product. Multiply the sum by the height and take one-third of the product. Example: Find the cubic contents of a frustum of a pyramid whose...
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Index to Mathematical Problems, 1975-1979

Stanley Rabinowitz, Mark Bowron - Mathematics - 1999 - 548 pages
...1.1.3. by A. Nesbit Prove that the volume of a frustum of a cone is obtained by either of the rules: (a) To the areas of the two ends of the frustum add the square root of their product; multiply the result by 1 /3 of the perpendicular height. (b) To the product of the diameters of the two ends, add...
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