If the surface areas of two spheres are in the ratio 4 : 25 , then the ratio of their volumes is :
Answer & explanation
Correct answer: option 4
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