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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". "
An Academic Algebra - Page 296
by James Morford Taylor - 1893 - 338 pages
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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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Annual Report of the Commissioners ..., Volume 72

1906 - 818 pages
...square root of— f_3 11 44 8 14 17 S ~ - 2a V + la^x* + a^x 3 ~ - 2aT*7r + a*. 5. Solve— x + = y 6. The volume of a sphere varies as the cube of its radius ; if three spheres of radii 6, 8, and 10 inches respectively be melted and formed into a single sphere,...
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A School Course of Mathematics

David Mair - Mathematics - 1907 - 408 pages
...state in its simplest form the value of XC, justifying your statement by geometrical reasoning. 24. The volume of a sphere varies as the cube of its radius. If the mass of Saturn is 1/3502 that of the Sun, and its density 0-52 that of the Sun, find the diameter...
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Elementary Algebra

Jacob William Albert Young, Lambert Lincoln Jackson - Algebra - 1908 - 460 pages
...radius. The area of a circle of radius 2 is 12.5664; what is the area of a circle whose radius is 5.5? 8. The volume of a sphere varies as the cube of its radius. If the volume of a sphere whose radius is 3 is 113.0976, what is the volume of a sphere whose radius...
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Standard Algebra

William James Milne - Algebra - 1908 - 480 pages
...inches, and 10 inches, 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. 20. The volume of a cone varies jointly as its altitude and the square of the diameter of its base....
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