Question

If the ratio of the volumes of two spheres is 729/64 , what is the ratio of the surface areas?

Answer 1

volume goes with the cube, area with the square

Answer 2

so for example the cube root of 64 is 4 and 4 squared is 16
that will be your denominator

Answer 3

Theorem: If two solids are similar, the cube of the scale factor of the two solids is equal to the ratio of the volumes.

So, get the scale factor first.

729/64 = (scale factor) ³