Question

if the curved Surface areas of two solid spheres is 16:9 , the ratio of their volume​

Answer 1

Answer:

64 : 27

Step-by-step explanation:

surface area of sphere is 16:9

⇒ 4πr^2 : 4πR^2 = 16:9

⇒  r^2 : R^2 = 16:9

⇒  r : R = 4:3

volume of sphere = 4/3πr^3 : 4/3πR^3

                              r^3 : R^3 = 4^3 : 3^3           (∵ r : R = 4:3)

                                             = 64 : 27