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" Find the thickness of the metal, it being known that the volume of a sphere varies as the cube of its diameter. "
Elements of Algebra - Page 292
by George Albert Wentworth - 1881 - 380 pages
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Elements of Algebra

Charles Elsee - 1873 - 320 pages
...from the sun being 91 and 35 millions of miles, find (in years) the time of Mercury's revolution. (12) The volume of a sphere varies as the cube of its diameter; show that a sphere of 6 in. diameter will be equal in volume to three spheres whose diameters are 3,...
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Elementary algebra

David Munn - 1876 - 216 pages
...4, G = 3; find о Л when В = 5 and = 7. 26. If Л а С, and J5 а L show that Л а L С J5 27. The volume of a sphere varies as the cube of its diameter ; show that a sphere of 6 inches diameter will be equal in volume to three spheres whose diameters...
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A School Algebra

Simon Newcomb - Algebra - 1882 - 302 pages
...will represent its brilliancy at the distances of 1 inch, 1 foot, 4 feet and 16 feet respectively? 5. The volume of a sphere varies as the cube of its diameter. If one sphere has 3 times the diameter of another, what is the ratio of their volumes.' 6. If the diameters...
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The Irish ecclesiastical record

Irish ecclesiastical record - 1883 - 834 pages
...take his present diameter as 850,000 miles, it would have been 1,050,000 miles 2,000 years ago. But the volume of a sphere varies as the cube of its diameter ; and therefore the volume of the Sun, 2,000 years ago, compared to his volume now, would be as (105)8...
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Wentworth and Hill's Examination Manuals: Algebra, Issue 2

George Albert Wentworth - Algebra - 1884 - 166 pages
...of 3. Expand (f4. Solve V2 ж + 1 - V» + 4 = i Ve - 3 . 5. Solve _1/1_2\ = 8£±1. о x\o aj a 6. The volume of a sphere varies as the cube of its diameter....whose diameters are 3, 4, 5 inches, respectively. 100. ii 1. Simplify a — Va2 — У? а + Va2 — ж2 2. nationalize the denominator of - ^, and find...
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A Text Book of Algebra

William Steadman Aldis - Algebra - 1887 - 616 pages
...him, and arrives T hours too late at his destination. Compare their rates of walking. 21. Given that the volume of a sphere varies as the cube of its diameter and that a sphere of 14 feet diameter has a volume of 1433-74 cubic feet : find the number of cubic...
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A College Algebra

George Albert Wentworth - Algebra - 1888 - 514 pages
...weighs -fifa of what it would weigh if solid. Find the thickness of the metal, it being known that the volume of a sphere varies as the cube of its diameter. 16. The volume of a sphere varies as the cube of its diameter. Compare the volume of a sphere 6 inches...
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A College Algebra

George Albert Wentworth - Algebra - 1889 - 540 pages
...thickness of the shell = \ (1 — f ) = Д Hence, the thickness of the shell is T1j of a foot, = 1 inch. 16. The volume of a sphere varies as the cube of its...spheres whose diameters are 3, 4, 5 inches respectively. Let x = volume of first sphere in cubic inches, and у — sum of volumes of other three in cubic inches....
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"Wentworth & Hill's Exercise Manuals: Algebra, Issue 2

George Albert Wentworth - 1889 - 406 pages
...3. Expand (ЧГ 4. Solve V2ж + 1 - Va; + 4 = è VT - 3. 5. Solve §£±1_1Л_2\ 3*-И ox\b aj a 6. The volume of a sphere varies as the cube of its diameter....whose diameters are 3, 4, 5 inches, respectively. 10O. ii 1. Simplify a — Va2 — x> a + Va2 — з? 2. Rationalize the denominator of - ^, and find...
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A Short Course in Higher Algebra: For Academies, High Schools, and Colleges

Webster Wells - Algebra - 1889 - 584 pages
...inches, respectively, are melted and formed into a single sphere. Find its diameter, having given that the volume of a sphere varies as the cube of its diameter. 15. If 5 men in 6 weeks earn $57, how many weeks will it take 4 men to earn $76 ; it being given that...
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