| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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