Question

If you doubled the radius of a sphere, how would the surface area change?

Answer 1

The area scale factor is the length scale factor squared. The length scale factor in this question is 2 (from the doubled radius) so the area scale factor is 2 squared, 4. This means that the surface area will be 4 times larger than it was originally.

Answer 2

The area will get quadrupled that is four times.

Explanation:

Surface area of sphere, A = 4πr²

If you doubled the radius of a sphere how would the surface area change.

New radius = 2r

New surface area of sphere, A' = 4π x (2r)²=16πr² = 4A

So the area will get quadrupled that is four times.