| Thomas Lund - Geometry - 1854 - 520 pages
...equal to the weight of the ring, what will be the thickness of the gilding? Ans. -0001^ in. (89) Shew that the volume of a sphere, whose radius is 6 in., is equal to the sum of the volumes of the spheres whose radii are 3, 4, and 5, inches. (90) The inner and outer circumferences... | |
| James Wood - 1857 - 634 pages
...is 6 inches is equal to the sum of the volumes of three spheres whose radii are 3, 4-, and 5 inches; given that the volume of a sphere varies as the cube of its radius. 18. Standard gold being coined at the rate of .l'.'ï. 17«. 1«W. per oz. what is the least integral... | |
| George Farncomb Wright - 1857 - 98 pages
...to return at the same rate of exertion ? 74 7. Find the mean proportional between ^ and 3 ~ • 8. Given that the volume of a sphere varies as the cube of the diameter, and that a sphere of 14 inches in diameter has a volume of 1433-74 cubic inches. Find... | |
| Isaac Todhunter - Algebra - 1858 - 530 pages
...quantities vary independently, the first quantity will vary as the difference of their squares. 12. Given that the volume of a sphere varies as the cube...prove that the volume of a sphere whose radius is 6 inches is equal to the sum of the volumes of three spheres whose radii are 3, 4, 5 inches. 13. Two... | |
| Thomas Lund - 1860 - 394 pages
...inches, is equal to the sum of the volumes of three other spheres whose radii are 3, 4, and 5 inches ; given that the volume of a sphere varies as the cube of its radius. Since the volume of a sphere œ (radiusf=mr*, where m is the same for all spheres, .•. sum of volumes... | |
| James Bryce - 1861 - 376 pages
...у = 10 ; find the equation connecting у and x. 31. Ifa+6o=a — 6, shew that a + fc2 <=c ab. 32. Given that the volume of a sphere varies as the cube...prove that the volume of a sphere, whose radius is 6 inches, is equal to the sum of the volumes of three spheres, whose radii are 3, 4, and 5 inches. XXL—... | |
| Charles Alfred Jones - 1865 - 196 pages
...whose diameter is 8 feet, two spheres are formed with diameters 5 and 6 feet respectively ; having given that the volume of a sphere varies as the cube of its radius, find the diameter of the sphere which can be formed of the clay which is left. EXERCISE LXXXVIII. 1.... | |
| Isaac Todhunter - Algebra - 1866 - 618 pages
...quantities vary independently, the first quantity will vary as the difference of their squares. 12. Given that the volume of a sphere varies as the cube...prove that the volume of a sphere whose radius is 6 inches is equal to the sum of the volumes of three spheres whose radii are 3, 4, 5 inches. 13. Two... | |
| Charles Alfred Jones, Charles Hartwell Horne Cheyne - Algebra - 1867 - 176 pages
...о IP There are two globes whose radii are r, r' ; they are melted and formed into a single globe: given that the volume of a sphere varies as the cube of its radius, find the radius of the single globe. 5. If a, b, с be in geometrical progression, shew that a+ b,... | |
| Elias Loomis - Algebra - 1868 - 386 pages
...volume is equal to the sum of the volumes of three spheres whose radii are 3, 4, and 5 inches, admitting that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose... | |
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