 | 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... | |
 | 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 of its radius, prove that the volume of a sphere whose radius is 6 inches is equal to the sum of the volumes... | |
 | 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... | |
 | 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 of its radius ; prove that the volume of a sphere, whose radius is 6 inches, is equal to the sum of the volumes... | |
 | 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.... | |
 | 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 of its radius, prove that the volume of a sphere whose radius is 6 inches is equal to the sum of the volumes... | |
 | 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... | |
 | 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... | |
 | Charles Elsee - 1873 - 320 pages
...from the sun being 91 and 35 millions of miles, find (in years) the time of Mercury's revolution. (12) The volume of a sphere varies as the cube of its diameter; show that a sphere of 6 in. diameter will be equal in volume to three spheres whose diameters are 3,... | |
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Find the thickness of the metal, it being known that the volume of a sphere varies as the cube of its diameter. 
