Question

The volume of a sphere is $8$ times that of another sphere. What is the ratio of their surface areas?

• A. $8:1$
• B. $4:1$
• C. $2:1$
• D. $4:3$

Answer 1

The correct option is B $4:1$

We know that if volume ratio of two spheres is $8:1$, then the ratio of their radii is $8^{1/3}:1^{1/3}=2:1$
Therefore, ratio of their surface areas $=4n(2{)}^2:4n(1{)}^2=4:1$.