The surface areas of two spheres are in the ratio of 64 : 81. Find the ratio of their volumes, in the order given.
Answer & explanation
Correct answer: option 1
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