Question

Ratio of the volume of 2 spheres is 64:27. Calculate the ratio of their surface area.​

Answer 1

Answer:

64:27 = 4^3:3^3

4/3Π(r1)^3 : 4/3Π(r2)^3 = 4^3:3^3

(r1)^3= 4^3

(r2)^3 = 3^3

r1 = 4 , r2 = 3

surface area of sphere= 4Πr^2

(r1)^2 = 16 , (r2)^2 = 9

so, ratio =

4Π16/4Π9

= 16/9 = 16:9

Answer 2

Answer: 16:9

for steps, please refer to the photo attached above