This is a strange problem statement. All spheres are similar to each other!
-Dan
If the spheres are similar. If the spheres are similar. If the spheres are similar.
I would observe that:
[MATH]\frac{V_S}{V_L}=\frac{250}{686}=\left(\frac{5}{7}\right)^3[/MATH]
Hence:
[MATH]\frac{A_S}{A_L}=\left(\frac{5}{7}\right)^2[/MATH]