Question

The value of two sphere are in the ratio 27:8 , find the ratio of their curved surface area

Answer 1

Answer:

Step-by-step explanation:

Let r1 and r2 be the radius of the two given spheres.

As we know that ,

Volume of sphere = 4/3πr³

Now,

Ratio of their volumes =

4/3πr1³:4/3πr2³= 27:8

r1 : r2 = 27:8

r1 : r2 = ∛27:∛8

r1 : r2 = 3:2

Hence,

Ratio of their Surface area =

4πr1² : 4πr2²

r1² : r2²

(3)² : (2)²

9 : 4