Question

Fill in the blank. tripling the radius of a sphere increases the surface area by a factor of ___________.

Answer 1

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.