The surface areas of two spheres are in the ratio of 64 : 81. Find the ratio of their volumes, in the order given.

512 : 729

The surface areas of two spheres are in the ratio of 64 : 81

Then the radius of these sphere will be in ratio of = \(\sqrt {64}\)   : \(\sqrt {81}\)  = 8 : 9

Now the volume of these spheres = 8³ : 9³

= 512 : 729