If the surface areas of two spheres are in the ratio 4 : 25 , then the ratio of their volumes is : |
4 : 25 25 : 4 125 : 8 8 : 125 |
8 : 125 |
Surface area of sphere = 4πr² Volume of sphere = 4πr³ Ratio of surface area of two spheres = 4 : 25 Ratio of radius of two spheres = \(\sqrt { 4}\) : \(\sqrt { 25}\) = 2 : 5 Ratio of volume of two spheres =2³ : 5³ = 8 : 125 The correct answer is option (4) : 8 : 125 |