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" Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. "
Mathematical Dictionary and Cyclopedia of Mathematical Science Comprising ... - Page 146
by Charles Davies, William Guy Peck - 1859 - 592 pages
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NEW PLANE AND SOLID GEOMETRY

WEBSTER WELLS - 1908
...radii of their bases ; and their volumes are to each other as the cubes of their slant heights, or as the cubes of their altitudes, or as the cubes of the radii of their bases. Given S and.s the lateral areas, T and t the total areas, Fand v the volumes, L and I the slant heights,...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1908 - 384 pages
...altitudes or as the squares of the radii of their bases; and their volumes are to each other as tJie cubes of their altitudes or as the cubes of the radii of their bases. [Proof similar to that of 1022.] 1047. EXERCISE. The volume of one of two similar cones of revolution...
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Solid Geometry

George C. Shutts - 1913
...Complete the demonstration. 638. COR. II. The volumes of two similar cylinders of revolution are to each other as the cubes of their altitudes or as the cubes of their radii (or their diameters'). Proof. Left to the pupil. See 633. 7. Which generates the greater...
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Plane and Solid Geometry, Suggestive Method

George Clinton Shutts - Geometry - 1913 - 476 pages
...radius r by the formula V — 638. COR. II. The volumes of two similar cylinders of revolution are to each other as the cubes of their altitudes or as the cubes of their radii (or their diameters) . Proof. Left to the pupil. See 633. 7. Which generates the greater...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 470 pages
...other as the squares of their altitudes or as the squares of their radii ; and their volumes are to each other as the cubes of their altitudes or as the cubes of their radii. Given two similar cylinders of revolution, / and /' denoting their lateral areas, t and...
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Plane and Solid Geometry

Webster Wells, Walter Wilson Hart - Geometry - 1916 - 467 pages
...squares of their altitudes, or as the squares of the radii of their bases; and their volumes are to each other as the cubes of their altitudes, or as the cubes of the radii of their bases. Hypothesis. S and s are the lateral areas, T and t are the total areas, V and v are the volumes, H...
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Plane and Solid Geometry

Webster Wells, Walter Wilson Hart - Geometry - 1916 - 467 pages
...the radii of their bases; and their volumes are to each other as the cubes of their slant heights, or as the cubes of their altitudes, or as the cubes of the radii of their bases. Hypothesis. $ and s are the lateral areas, T and t the total areas, F~and v are the volumes, L and...
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SOLID GEOMETRY

WILLIAM BETZ, HARRISON E. WEBB - 1916
...other as the squares of their altitudes or as the squares of their radii, and their volumes are to each other as the cubes of their altitudes or as the cubes of their radii. Given two similar cylinders of revolution, with lateral areas / and /', total areas t...
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Plane and Solid Geometry

William Betz - Geometry - 1916 - 507 pages
...other as the squares of their altitudes or as the squares of their radii, and their volumes are to each other as the cubes of their altitudes or as the cubes of their radii. Given two similar cylinders of revolution, with lateral areas / and /', total areas t...
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Industrial Arithmetic

Charles Gerard White, Pitt Payson Colgrove - Arithmetic - 1916 - 281 pages
...of the base X the altitude. 251. The volume of a sphere = i X the cube of the radius X 3.1416. 252. The volumes of similar cylinders are to each other as the cubes of the altitudes or as the cubes of the radii of the bases. 253. The square on the hypotenuse of a...
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