The volume of the two spheres are in the ratio . The difference of their surface areas, if the sum of their radii is , is
Step 1: Given data
The ratio of the volumes of the two spheres,
Sum of the radii of the two spheres,
Differences in the surface area of the two spheres,
Step 2: Calculating the difference in the surface area of the two spheres
Volume of a sphere
Surface area of a sphere
Since,
Thus, and
Required difference,
Hence, the difference of their surface areas will be
Hence, option B is correct.