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" The volume of a sphere varies as the cube of its radius. If the... "
New School Algebra - Σελίδα 317
των George Albert Wentworth - 1898 - 407 σελίδες
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The elements of algebra

James Wood - 1857 - 634 σελίδες
...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...

Algebra

Isaac Todhunter - 1858 - 530 σελίδες
...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 of three...

A companion to Wood's Algebra

Thomas Lund - 1860 - 394 σελίδες
...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...

A Treatise on the Elements of Algebra

James Bryce - 1861 - 376 σελίδες
...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 of...

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

Charles Alfred Jones - 1865 - 196 σελίδες
...is 9, and whose digits, if reversed, form a number -greater than the original number. 6. Given that the volume of a sphere varies as the cube of its radius, prove that the volume of a sphere whose radius is G inches is equal to the sum of the Tolumes of three...

Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - 1866 - 580 σελίδες
...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 of three...

Algebraical Exercises, Progressively Arranged

Charles Alfred Jones, Charles Hartwell Horne Cheyne - 1867 - 176 σελίδες
...9, and whose digits, if reversed, form a number ¿ greater than the original number. 6. 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 of three...

A Treatise on Algebra

Elias Loomis - 1868 - 386 σελίδες
...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...

A Treatise on Algebra

Elias Loomis - 1873 - 396 σελίδες
...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...

"Wentworth & Hill's Examination Manuals: Algebra, Τεύχος 2

George Albert Wentworth - 1884 - 170 σελίδες
...arithmetical progression such that the second, fourth, and eighth terms are in geometrical progression. 3. The volume of a sphere varies as the cube of its radius. If three spheres, whose radii are 9 inches, 12 inches, 15 inches, respectively, are melted into one, what...




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