the volume of a sphere is 905 1/7 cubic cm. find its diameter
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Volume of sphere = 6336/ 7 cm^3
=> 4pi r^3 / 3 = 6336 / 7
=> 4*22*r^3 / 7*3 = 6336 / 7
=> r^3 = 6336 * 7 * 3 / 7 * 22* 4
=> r^3 = 288 * 3 / 4
=> r^3 = 72 * 3
=> r^3 = 2 * 6 * 6 * 3
=> r^3 = 6*6*6
=> r = 6 cm
Diameter of sphere = 2* r
= 2*6
= 12 cm
=> 4pi r^3 / 3 = 6336 / 7
=> 4*22*r^3 / 7*3 = 6336 / 7
=> r^3 = 6336 * 7 * 3 / 7 * 22* 4
=> r^3 = 288 * 3 / 4
=> r^3 = 72 * 3
=> r^3 = 2 * 6 * 6 * 3
=> r^3 = 6*6*6
=> r = 6 cm
Diameter of sphere = 2* r
= 2*6
= 12 cm
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