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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 School Algebra - Page 419
by George Albert Wentworth - 1890 - 495 pages
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The elements of algebra

James Wood - 1857 - 634 pages
...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'.'. 17. 1W. per oz. what is the least integral...
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Algebra

Isaac Todhunter - Algebra - 1858 - 528 pages
...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...
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A companion to Wood's Algebra

Thomas Lund - 1860 - 388 pages
...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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A Treatise on the Elements of Algebra

James Bryce - 1861 - 376 pages
...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...
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Algebraical exercises progressively arranged, by C.A. Jones and C.H.H. Cheyne

Charles Alfred Jones - 1865 - 194 pages
...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...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 576 pages
...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...
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Algebraical Exercises, Progressively Arranged

Charles Alfred Jones, Charles Hartwell Horne Cheyne - Algebra - 1867 - 176 pages
...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...
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A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...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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A Treatise on Algebra

Elias Loomis - Algebra - 1873 - 396 pages
...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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Wentworth and Hill's Examination Manuals: Algebra, Issue 2

George Albert Wentworth - Algebra - 1884 - 168 pages
...the same series. What is the common ratio ? 5. Sum the series 3, 2^, 2^, ..... , to 21 terms. 6. , The volume of a sphere varies as the cube of its radius, and that of a circular plate of given thickness as the square of its radius. If the volume of a sphere...
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