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" ... 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 radii are r, /, and r". "
A graduated series of exercises in elementary algebra - Page 78
by George Farncomb Wright - 1857
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The elements of algebra

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...
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A companion to Wood's Algebra

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...
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Algebraical exercises progressively arranged, by C.A. Jones and C.H.H. Cheyne

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....
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Algebraical Exercises, Progressively Arranged

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,...
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A Treatise on Algebra

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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Algebra

Isaac Todhunter - 1870 - 818 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 С inches is equal to the sum of the volumes of three spheres whose radii are 3, 4, 5 inches. 13. Two...
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A Treatise on Algebra

Elias Loomis - Algebra - 1873 - 396 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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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1875 - 640 pages
...quantities vary independently, the first quantity will vary as the difference of their squares. A" 12. Given that the volume of a sphere varies as the cube...prove that the volume of a sphere whose radius is C inches is equal to the sum of the volumes of three spheres whose radii are 3, 4, 5 inches. 13. Two...
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Elementary algebra, with brief notices of its history

Robert Potts - 1879 - 668 pages
...globe ; find its radius having given that the volume of a globe varies at the cube of its radius. 12. Prove that the volume of a sphere whose radius is...sum of the volumes of three spheres whose radii are respectively 3, 4, 5 inches. 13. If a body weigh a ton at the surface of the earth, what would be its...
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Elementary algebra: with brief notices of its history

Robert Potts - Algebra - 1879 - 672 pages
...globe ; find its radius having given that the volume of a globe varies at the cube of its radius. 12. Prove that the volume of a sphere whose radius is...sum of the volumes of three spheres whose radii are respectively 3, 4, 5 inches. 13. If a body weigh a ton at the surface of the earth, what would be its...
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