... 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 294by James Morford Taylor - 1893 - 338 pagesFull view - About this book
| George Albert Wentworth - 1884 - 170 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,... | |
| Samuel Edward Warren - Geometrical drawing - 1887 - 200 pages
...that, as r (or d) is the only quantity that is changeable in the expression for the volume of a sphere, the volume of a sphere varies as the cube of its radius or diameter. This means, that if one sphere has two times the radius of another, its volume will be... | |
| John Bascombe Lock - Forces and couples - 1888 - 278 pages
...latter sphere is cut out of the former. Find the centre of gravity of the remainder, assuming that the volume of a sphere varies as the cube of its radius. 4. A smooth uniform beam, of weight W lbs. and length 6 feet, rests with one point of it on the top... | |
| George Albert Wentworth - 1889 - 406 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,... | |
| Walter William Rouse Ball - Mathematics - 1890 - 512 pages
...three cylinders of equal volume be in continued proportion, so also are the radii of their bases. 23. The volume of a sphere varies as the cube of its radius. If three spheres of radii 9, 12, 15 inches be melted and formed into a single sphere, find its radius.... | |
| George Albert Wentworth - Algebra - 1890 - 518 pages
...Find the volume of a cone 9 feet high with a base whose radius is 4 feet. F= |SAz2 = 150$ cu. ft. 17. The volume of a sphere varies as the cube of its radius. If the volume is 179| cubic feet when the radius is 3J feet, find the volume when the radius is 1 foot... | |
| Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1891 - 606 pages
...seconds, how far does it fall in 10 seconds ? Also how far does it Ml in the 10"> second! 16. Given that the volume of a sphere varies as the cube of its radius, and that when the radius is 3£ feet the volume is 179§ cubic feet, find the volume when the radius is... | |
| Charles Smith (Master of Sidney Sussex College, Cambridge.) - Algebra - 1892 - 654 pages
...radius is 7 feet? Am. 452-38896 feet. Ex. 2. The volume of a sphere varies as the cube of its radias, and the volume of a sphere whose radius is 1 foot is 4-188 cubic feet. What is the volume of a sphere of one yard radius? Am. 113-076 feet. Ex. 3. The distance... | |
| George Albert Wentworth - Algebra - 1894 - 520 pages
...3.1416 = m ... x = 3.1416 r2 x = 3.1416 X 400 = 1256.64 Therefore the area is 1256.64 square foet. 9. The volume of a sphere varies as the cube of its radius,...is 1 foot is 4.188 cubic feet. Find the volume of à sphere whose radius is 2 feet. Let x = the volume of a sphere of radius r. Then, x = mr3 4.188 =... | |
| Charles Smith - Algebra - 1894 - 620 pages
...feet is 6f> cubic feet. Find the volume of a cone 9 feet high with a base whose radius is 14 feet. 16. 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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