Write it down! The notation will help you.
Are we getting anywhere?
The question is:
If the volume of the sphere doubles, what is the ratio of the surface area of the new, larger sphere to the old, smaller sphere? The answer is 2^(2/3). A good method for tackling these types of problems would be great. Should I just plug in numbers and work that way, or is there a more methodical way of doing it?
1. TKHunny showed you how to express the radius of the larger sphere ( ) by the radius of the smaller sphere:
2. Now calculate the ratio of the surfaces:
Sub in the term for :
3. Cancel equal factors and re-write the cube-root term as a power.