Question

If the surface area of a sphere increased by a factor of 3, by what factor did the radius of the sphere change?

Answer 1

Step-by-step explanation:

The surface area of a sphere is given by :

`A=4\pi r^2`

r is the radius of the sphere

It can also be written as :

`r\propto √(A)`

If the surface area of a sphere increased by a factor of 3, it would mean that,

`r'=k√(3A)`

or

`r'=k√(3) r`

So, the radius of the sphere change by a factor of
`√(3)`.