| Alfred Hix Welsh - Geometry - 1883 - 326 pages
...whose base and altitude would be the circumference and altitude of the cylinder. THEOREM TI. The volume **of a cylinder is equal to the product of its base by its altitude. Let** AB be a cylinder ; then /B will its volume be equal to the product of its base by its altitude. For,... | |
| William Chauvenet - Geometry - 1887 - 336 pages
...the radii of their bases. Suggestion. - = s RH R> IP - RH PROPOSITION III.— THEOREM. 11. The volume **of a cylinder is equal to the product of its base by its altitude. Let** the volume of the cylinder be denoted by V, its base by B, and its altitude by H. Let the volume of... | |
| William Chauvenet - Geometry - 1887 - 336 pages
...squares of their altitudes, or as the squares of the radii of their bases. PROPOSITION III. The volume **of a cylinder is equal to the product of its base by its** altitude. Corollary I. For a cylinder of revolution this may be formulated, PROPOSITION IV. If a pyramid... | |
| William Chauvenet - Geometry - 1887 - 331 pages
...squares of their altitudes, or as the squares of the radii of their bases. PROPOSITION III. The volume **of a cylinder is equal to the product of its base by its** altitude. Corollary I. For a cylinder of revolution this may be formulated, PROPOSITION IV. If a pyramid... | |
| Edward Albert Bowser - Geometry - 1890 - 420 pages
...altitude is 20 feet and diameter of the base 8 feet. (612) Proposition 3. Theorem. 757. The volume **of a cylinder is equal to the product of its base by its** altitude. Hyp. Let V, B, H denote the volume of the cylinder, the area of its base, and its altitude,... | |
| William Chauvenet - 1893 - 340 pages
...squares of their altitudes, or as the squares of the radii of their bases. PROPOSITION III. The volume **of a cylinder is equal to the product of its base by its** altitude. Corollary I. For a cylinder of revolution this may be formulated, PROPOSITION IV. If a pyramid... | |
| George Albert Wentworth - Geometry - 1894 - 456 pages
...cylinder of revolution, T= tirR x H+ 2TrI? = 2vB(II+ B). PROPOSITION XXXIII. THEOREM. 649. The volume **of a cylinder is equal to the product of its base by its** altitude. a Let V denote the volume, B the base, and H the altitude, of the cylinder AG. To prove V=BxH.... | |
| William Chauvenet - Geometry - 1894 - 380 pages
...therefore, S 8 H h + r) H+R RH r~h~ H' R* R H+R r ~ h + r R* * PROPOSITION III.—PROBLEM. 12. The volume **of a cylinder is equal to the product of its base by its** uttitude. Let the volume of the cylinder be denoted by F, its base by B, and its altitude by H. Let... | |
| George Albert Wentworth - Geometry - 1896 - 50 pages
...area, T the total area, H the altitude, and R the radius, of a cylinder of revolution, 649. The volume **of a cylinder is equal to the product of its base by its** altitude. 650. Cor. If V denotes the volume, .Rthe radius, If the altitude, of a cylinder of revolution,... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...XH; T = 2irBXH + 2 irS'1 = 2 7r-B (H + -B). PROPOSITION XXXIV. THEOREM. 699. The volume of a circular **cylinder is equal to the product of its base by its altitude. Let** V denote the volume, B the base, and H the altitude, of the circular cylinder GA. To prove that V =... | |
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