To solve this completion exercise, you must keep on mind the following information:
- The formula for calculate the area of a sphere, is the following:
Vsphere=4πr³/3
Where Vsphere is the volume of the sphere and "r" is the radius of the sphere.
- Therefore, if you multiply the radius by 3, or triple the radius, the surface area increase by a factor of 9 (3^2=9).
The answer is: Tripling the radius of a sphere increases the surface area by a factor of 9.
