Question

the volumes of two spheres are in the ratio 27:8,find the ratio of their diameter​

Answer 1

Answer:

3:2

Step-by-step explanation:

ratio of volume of 2 spheres = 27 :8

let R and r be the diameter  of larger and smaller spheres respectively

volume of sphere = 4/3 x π x r^3

 ratio of volume of 2 spheres = 27 :8 = (4/3 x π x R^3 ) /( 4/3 x π x r^3)    

27/ 8 = R^3 / r^3

taking cube root on both side

R / r = 3 / 2

R:r = 3:2

D :d = 3 : 2      

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Answer 2

Answer:

6:4

Step-by-step explanation:

Ratio of volume of 2 spheres = 27 :8

let R and r be the radius   of larger and smaller spheres respectively

volume of sphere = 4/3 x π x r^3

ratio of volume of 2 spheres = 27 :8 = (4/3 x π x R^3 ) /( 4/3 x π x r^3)    

27/ 8 = R^3 / r^3  

taking cube root on both side

R / r = 3 / 2

R:r = 3:2

D :d = 6 : 4