Question

the volume of a sphere is 905¹/7cm². determine its diameter

Answer 1

Volume of sphere = 905 1/7 cm^3

=> 4 pi r^3 /3 = 6336 / 7

=> 4* 22 r^3 / 3* 7 = 6336 / 7

=> r^3 = (6336 * 7 * 3) /( 7 *22 * 4)

=> r^3 = 288 * 3 / 4

=> r^3 = 72 * 3

=> r^3 = 2*2*2*3*3*3

=> r = 2 * 3

=> r = 6


Radius of sphere = 6 cm

Diameter of sphere = 12 cm

Answer 2

Volume of sphere = 905 1/7 cm^3

=> 4 pi r^3 /3 = 6336 / 7

=> 4* 22 r^3 / 3* 7 = 6336 / 7

=> r^3 = (6336 * 7 * 3) /( 7 *22 * 4)

=> r^3 = 288 * 3 / 4

=> r^3 = 72 * 3

=> r^3 = 2*2*2*3*3*3

=> r = 2 * 3

=> r = 6

Radius of sphere = 6 cm

Diameter of sphere = 12 cm

hope it helped ⚡

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