Explanation:
The surface area of a sphere is given by :
[tex]A=4\pi r^2[/tex]
r is the radius of the sphere
It can also be written as :
[tex]r\propto \sqrt{A}[/tex]
If the surface area of a sphere increased by a factor of 3, it would mean that,
[tex]r'=k\sqrt{3A}[/tex]
or
[tex]r'=k\sqrt{3} r[/tex]
So, the radius of the sphere change by a factor of [tex]\sqrt{3}[/tex].
