 | George Clinton Shutts - Geometry - 1913 - 494 pages
...A = 2irrh + 2irr2 = 2 wr ( r + h ) . 636. COR. IV. The total areas of two similar cylinders are to each other as the squares of their altitudes, or as the squares of their radii (or diameters). Proof. Left to the student. 4. How many feet of lumber will it take to... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...the base. PROPOSITION XXIX. THEOREM 614. The lateral areas, or the total areas, of two similar cones of revolution are to each other as the squares of their altitudes, as the squares of their radii, or as the squares of their slant heights ; and their volumes are to... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...equals 80 T. PROPOSITION XXXII. THEOREM 688. The lateral areas, or the total areas, of two similar cones of revolution are to each other as the squares of their altitudes, as the squares of their radii, or as the squares of their slant heights ; and their volumes are to... | |
 | George C. Shutts - 1913 - 212 pages
...B'? Of the product B'X h? Why? Therefore— 4. 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.... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...areas of two similar cones of revolution are to each other as the squares of their slant heights, or as the squares of their altitudes, or as the squares...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.... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...That is, R_H_D_C rhd c' 655. THEOREM. The lateral areas or total areas of similar cylinders are to each 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 the cubes of their... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...r'h' r'2 h'2 PROPOSITION VI. THEOREM 888. The lateral areas or the total areas of two similar cones of revolution are to each other as the squares of their altitudes,- as the squares of their radii, or as the squares of their slant heights ; and their volumes are to... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...circular cylinder, then V = irRPH. The proof is left to the student. 382. Theorem. — The volumes of two similar cylinders of revolution are to each other as the cubes of the radii of their bases, or as the cubes of their altitudes. The proof is left to the student.... | |
 | William Betz - Geometry - 1916 - 536 pages
...? == Trr'Vi' = /W = r*5 = A7"1' Why? 888. The lateral areas or the total areas of two similar cones of revolution are to each other as the squares of their altitudes, as the squares of their radii, or as the squares of their slant heights ; and their volumes are to... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...of a similar cylinder of revolution whose altitude is 20 ft.? Ex. 16. Trove that the total surfaces of two similar cylinders of revolution are to each other as the squares of the altitudes or the squares of the radii of the cylinders. Ex. 17. Find the total interior surface... | |
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The lateral or total areas of two similar cones of revolution are to each other as the squares of their slant heights... 
