The volume of two spheres are in the ratio 64 : 27. Find the difference of their surface areas if the sum of their radii is 7 cm.

Volume of a sphere


Given Ratio of volumes of two spheres




So, r = 4x and R = 3x


Also given that the sum of radii = 7


r +R = 4x +3x =7x =7


x =1


So, r = 4cm and R = 3cm


Surface area of a sphere


Difference in total surface area =



19