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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 423
by George Albert Wentworth - 1890 - 495 pages
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 386 pages
...inches, respectively, are melted and formed into a single sphere. Find its radius, having given that the volume of a sphere varies as the cube of its radius. 16. The volume of a cone of revolution varies jointly as its altitude and the square of the radius...
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Exercises in Algebra, Parts 1-2

George Albert Wentworth - 1897 - 410 pages
...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,...
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New School Algebra

George Albert Wentworth - Algebra - 1898 - 434 pages
...radius is 4 feet. 16. Find the volume of a cone 9 feet high with a base whosg radius is 4 feet. 17. The volume of a sphere varies as the cube of its radius. If the volume is 179| cubic feet when the radius is 3£ feet, find the volume when the radius is 1...
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Academic Algebra

William James Milne - Algebra - 1901 - 462 pages
...are 6, 8, and 10 in., respectively, are united into one. Find the radius of the resulting sphere, if the volume of a sphere varies as the cube of its radius. 27. The volume of a cone varies jointly as its altitude and the square of the diameter of its base....
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Advanced Algebra for Colleges and Schools

William James Milne - Algebra - 1902 - 620 pages
...are G, 8, and 10 in., respectively, are united into one. Find the radius of the resulting sphere, if the volume of a sphere varies as the cube of its radius. 27. The volume of a cone varies jointly as its altitude and the square of the diameter of its base....
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An Algebra for High Schools and Academies

Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...diameter is equal to the sum of the areas of two circles 1 foot 6 inches and 2 feet in diameter. 17. The volume of a sphere varies as the cube of its radius. When the radius is 3£ feet the volume is 179| cubic feet ; find the volume when the radius is 1 foot...
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Algebra Adapted to the Requirements of the First Stage of the ..., Part 2

Edward Mann Langley, S. R. N. Bradly - Algebra - 1903 - 280 pages
...square of x varies as the cube of y, and when x = 2, y = 3, find the relation between x and y. (6) If the volume of a sphere varies as the cube of its radius, what is the diameter of a ball made by melting down 2 golf balls whose diameters are respectively 1^...
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Elementary Algebra

John Henry Tanner - Algebra - 1904 - 398 pages
...long oscillates once a second, what is the length of a pendulum that oscillates twice a second ? 24. The volume of a sphere varies as the cube of its radius, and the volume of a sphere whose radius is 1 ft. is 4.19 cu. ft. Find the volume of a sphere whose radius is 3 ft. 25. Three metal spheres whose...
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The Essentials of Algebra: For Secondary Schools

Robert Judson Aley, David Andrew Rothrock - Algebra - 1904 - 344 pages
...— z8) ocj/8. 9. If у varies inversely as iff>, and if y = 16 when ж = 4, find x when у = 10. 10. The volume of a sphere varies as the cube of its radius. If the volume of a sphere whose radius is 3 be 113.1, find the volume of a sphere whose radius is 20....
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Advanced Algebra

Herbert Edwin Hawkes - Algebra - 1905 - 312 pages
...can determine k by substituting a = 2, b = 3. 2 - 9 = k. 18 = k. Then a • (18)2 = 18, or a = Ty 2. The volume of a sphere varies as the cube of its radius. A sphere of radius 1 has a volume 4.19. What is the volume of a sphere of radius 3 ? Solution: Let...
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