The surface areas of two spheres are in the ratio of 4 : 25. Find the ratio of their volumes.

Open in App

Solution

Given that surface areas of two spheres are in the ratio 4:25.

4πr² : 4πR² = 4 : 25

r : R = 2 : 5.

Now ratio of volumes of two spheres = (4/3)πr³ : (4/3)πR³ =

⇒ r³ : R³ =2 ³: 5³ = 8: 125.

Suggest Corrections

Similar questions

9 : 25

Volume of two spheres are in ratio 64: 27. Find the ratio of their surface areas.

Join BYJU'S Learning Program