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" ... to three times the square of the radius of the segment's base, add the square of its height ; then multiply the sum by the height, and the product by .5236 for the contents. "
A Practical System of Mensuration of Superficies and Solids ... - Page 90
by J. M. Scribner - 1844 - 123 pages
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Introduction to the National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1846 - 206 pages
...contents ; or to three times the square of the radius of the segments base, add the square of its N* height ; then multiply the sum by the height, and the product by .5236 for the contents. 20. To find how large a cube may be cut from any given sphere, or be inscribed in it. RULE. Square...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...Schol. to Prop. XIV., Sol. Geom.) RULE II. To three times the square of the radius of the segment-s base add the square of its height ; then multiply...by the height, and the product by •5236, for the content. ROLE III. When the segment has two bases, multiply the half sum of the parallel bases by the...
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Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1847 - 232 pages
...or to three times the square of the radius of the segment's base, add the square of its N* Jieight ; then multiply the sum by the height, and the product by .5236 for the contents. 20. To find how large a cube may be cut from any given sphere, or be inscribed in it. RULE. Square...
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Questions and answers on artillery

Robert Burn - 1848 - 130 pages
...height, and this product by decimal '5236 ; or, To three times the square of the radius of the segment's base add the square of its height, then multiply the sum by the height and this product by '5236 for the content. 26. How is the capacity (or content ) of a Gamer chamber computed?...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1848 - 320 pages
...x,.j XV7 X .52JO — , * ' \k I • v PROBLEM XIV. To jind the solidity of ike segment of a tphere* RULE.* To three times the square of the radius of its base add -f he square of its height; and this sum multiplied by the height, and the product again by .5236,...
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Scribner's Engineers' and Mechanics' Companion: Comprising United States ...

J. M. Scribner - Mechanical engineering - 1849 - 286 pages
...Rule. — To three times the square of the radius, ab, of its base, add the square of its height, bc ; then multiply the sum by the height, and the product by -5236, for the contents. E.ramp1e. — What is the solidity of the segment, adc, (of the sphere ec,) whose height, bc, is 8...
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An elementary course of practical mathematics, Part 2

James Elliot - 1851 - 152 pages
...times the bulk of the earth. PROBLEM XII. To find the Solid Content of a Segment of a Sphere. RULE 1. To three times the square of the radius of its base add the square of its height. Multiply the sum by the height, and the product again by •5236 — . FORMULA. RULE 2. From three...
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The Practical Model Calculator: For the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1851 - 310 pages
...And 2572 -4468 -4- 1728 = 1-48868 solid feet. To find the solidity of the segment of a sphere. — To three times the square of the radius of its base add the square of its height, and this sum multiplied by the height, and the product again by '5236, will give the solidity. Or,...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1851 - 346 pages
...by .5236, and the prodact is the solidity. To find the Solidity of a Spherical Segment— fig. 38. RULE. — To three times the square of the radius of its base ab, aiiu the square of its height cb ; then multiply this sum by the height. and the product by .5236....
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Norris's Hand-book for Locomotive Engineers and Machinists

Septimus Norris - Locomotives - 1852 - 356 pages
...-5236 ; the product will be the solidityTo find the Solidity of a Spherical Segment, fig- 34RULE — To three times the square of the radius of its base...multiply the sum by the height, and the product by -5236To find the Solidity of a Spherical Zone or Frustum, fig- 35RULE — To the sum of the squares...
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