Question

If ratio of volume of two sphere is 64:27 then find the ratio of its surface areas

Answer 1

Answer:The ratio of their surface areas will be 16:9

Step-by-step explanation:                                                     ( /=DIVISION)

we know that the ratio of their volume is 64:27

so,      Let's take two radii R and r                             ( V OF SPHERE = 4/3πr^3)        

          by equating the forumla we get, R^3/r^3=64/27

          R/r=∛64/27=4/3                                             ( SA OF SPHERE= 4πr^2)

          Ratio of surface areas=4πR^2/4πr^2=4^2/3^2

           =16/9  =16:9                                                      

Answer 2

Answer:16: 9

Step-by-step explanation: