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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 294
by James Morford Taylor - 1893 - 338 pages
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School Algebra

James William Nicholson - Algebra - 1909 - 332 pages
...is 5 in. is equal to the sum of the areas of two circles whose radii are 3 and 4' in. 11. 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 in. is equal to the sum of the volume of three...
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A Second Course in Elementary Algebra

Jacob William Albert Young, Lambert Lincoln Jackson - Algebra - 1910 - 238 pages
...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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A High School Algebra, Part 2

Jacob William Albert Young - 1914 - 232 pages
...—<*i Ь1 + Ь2 + M hЬ„~Ьi' 3. Given ж + Vж : ж — Vi:: 3V« + 6 : 2 Vж, to find x. 4. 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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College Algebra: With Applications

Ernest Julius Wilczynski - Algebra - 1916 - 542 pages
...by moving the piston. Show that the density of the inclosed air varies inversely as the volume. JO The volume of a sphere varies as the cube of its radius. If three spheres of radius 2, 3, and 4 inches respectively be melted and formed into a single sphere,...
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Elementary Algebra: Second Year Course

Florian Cajori - 1916 - 236 pages
...of a circle varies as its radius, that the area of a circle varies as the square of its radius, that the volume of a sphere varies as the cube of its radius. In symbols, C:Ci = r: >\, V: F, = r> : r,3. Hence, if the second radius is twice the first (r1 = 2',),...
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Elementary Algebra with a Table of Logarithms

Julius Lederer Neufeld - Algebra - 1920 - 412 pages
...6, 8, 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. 16. The area of an ellipse varies jointly as its axes. The area of an ellipse is lIt) square inches...
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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
...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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