 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...sphere, R its radius, and D its diameter, V=4irR° xi/?=f irR' - %irD\ 990. COR. IV. The volumes of tivo spheres are to each other as the cubes of their radii, or as the cubes of their diameters. 991. COR. V. The volume of a spherical pyramid is equal to the area of its base multiplied by one-third... | |
 | George Albert Wentworth - Arithmetic - 1896 - 318 pages
...the dome, at 60 cents per foot. Two cubes are to each other (in volume) as the cubes of their edges. Two spheres are to each other as the cubes of their radii, or as the tn.hcs of their diameters. The surfaces of two spheres are as the squares of their radii, or as the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...sphere, R its radius, and D its diameter, V= 47rA'' x \K =f irR' = ^-nD\ 990. COR. IV. 7he volumes of two spheres are to each other as the cubes of their radii, or as the <ubes of their diameters. 991. COR. V. The volume of a spherical pyramid is equal to the area of its... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...sphere is equal to the cube of the diameter multiplied by one-sixth TT. 786. Cor. 2. The volumes of two spheres are to each other as the cubes of their radii. 787. Cor. 3. The volume of a spherical pyramid is equal to one-third the product of its base by the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...III. If V is the volume of a sphere, R its radius, and D its diameter, 990. COR. IV. The volumes of two spheres are to each other as the cubes of their radii, or as the cubes of their diameters. 991. COR. V. The volume of a spherical pyramid is equal to the area of its base multiplied by one-third... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...III. If V is the volume of a sphere, R its radius, and D its diameter, 911. COR. IV. The volumes of two spheres are to each other as the cubes of their radii, or as the cubes of their diameters. PROBLEMS OF DEMONSTRATION 912. Exercise.—The lateral area of a cylinder of revolution is equal to... | |
 | George Albert Wentworth, George Anthony Hill - Arithmetic - 1897 - 476 pages
...the dome, at 60 cents per foot. Two cubes are to each other (in volume) an the cubes of their edges. Two spheres are to each other as the cubes of their radii, or as the cubus of their diameters. The surfaces of two spheres are as the squares of their radii, or as the... | |
 | Silas Ellsworth Coleman - Arithmetic - 1897 - 180 pages
...irr3, (1) 110. Let r^ and rt be the radii of two spheres ; Vl and t their volumes. Then Fi volumes of two spheres are to each other as the cubes of their radii. Conversely, Tlie radii of two spheres are to each other as the cube roots of their volumes. EXERCISE.... | |
 | George Albert Wentworth - 1897 - 410 pages
...circles, the first having a radius of 18 feet, and the other a radius of 24 feet. 13. The volumes of two spheres are to each other as the cubes of their radii. In what ratio are the volumes of two spheres having radii of 8 feet and 12 feet ? 14. Of two moving... | |
 | Alfred John Pearce - 1897 - 202 pages
...the products of the squares of their radii and their heights. (?) Volumes of similar cylinders are as the cubes of their radii, or as the cubes of their heights. Let V, r, and A = volume, radius, and height of first cylinder. And Vj, r,, and 7i, = volume,... | |
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The volumes of two spheres are to each other as the cubes of their radii, or as the cubes of their diameters. 
