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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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Exercise Book in Algebra: A Revision of McCurdy's Exercise Book in Algebra

Oswald Tower - Algebra - 1922 - 196 pages
...inches in diameter is equal to the sum of the areas of two circles 1| and 2 inches in diameter. 18. If the volume of a sphere varies as the cube of its radius, find the radius of a sphere whose volume equals that of the sum of two spheres whose radii are respectively...
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Advanced Algebra

Edward Ira Edgerton, Perry Amherst Carpenter - Algebra - 1925 - 398 pages
...y when x = 8. 8. If 3 x — 4 varies directly as y + 5 and x = 2 when y = 3, find x when y — 15. 9. The volume of a sphere varies as the cube of its radius. If the volume of a sphere whose radius is 7 inches is 1437.3 cubic inches, what is the volume of a...
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Algebra

William Raymond Longley, Harry Brooks Marsh - Algebra - 1926 - 608 pages
...varies as the square of its radius. If V is the volume of a sphere of radius r, then V = t тгг3. The volume of a sphere varies as the cube of its radius. If A is the area of a rectangle the lengths of whose sides are x and y, then A = xy. If the area of...
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Mathematics for Students of Technology

Leonard Berger Benny - Engineering mathematics - 1927 - 512 pages
...the area of a circle of radius 2 ft. is 12-57 sq. ft. Kind the area of a circle of radius 3-4 ft. 2. The volume of a sphere varies as the cube of its radius, aguí a sphere of radius 3 ft. has a volume 113-1 cu. ft. Find the volume of a sphere of diameter 4-6...
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Learning to Reason: An Introduction to Logic, Sets, and Relations

Nancy Rodgers - Mathematics - 2000 - 458 pages
...According to legend, a wise man used deductive reasoning to prove to an ancient Chinese Emperor that the volume of a sphere varies as the cube of its radius. The Emperor, not understanding the deductive argument, ordered his servants to bring in spheres of...
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A Textbook Of Mathematics

B.K. Dev Sarma - 2003 - 676 pages
...varv. Example 7 Three spherical metallic balls of radii rb r, and r, are melted to form a n. .. one. If the volume of a sphere varies as the cube of its radius, find the radius of the resulting ball. Ans: If v and r denote the volume and the radius of a spherical...
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