Question

Volume of two spheres are in ratio 125 : 27. Find the ratio of their surface areas.​

Answer 1

Answer:

25:9

Step-by-step explanation:

Volume of a sphere = 4/3 Pi r³

Therefore,

Ratio of the volumes =4/3 Pi R³/ 4/3 Pi r³

= R³/r³ = 125/27

=> (R/r)³ = (5/3)³

=> R/r = 5/3

Ratio of surface area = 4 Pi R²/4 Pi r²

= (R/r)² = (5/3)² = 25/9