Question

the volume of a sphere is 905 1/7 cubic cm. find its diameter

Answer 1

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