37.8k views
0 votes
The radius of 2 spheres are 4 and 12. find the scale factor of the surface areas

User FredAKA
by
3.4k points

1 Answer

3 votes

Answer:

~ Surface Area 1 = 9 * Surface Area 2 ~

Explanation:

Let us look through this problem step by step;

1. The formula to determine the surface area of a sphere is 4πr^2

2. Here we can see that the difference between the two radii of the spheres is that one is 3 times greater than the other

3. So if you were to think about it, in this surface area formula if the radii is squared, the difference between the two surface areas would also be squared. That means that the difference between the surface areas is 3^2, or 9 times the other.

4. This would mean the scale factor to be that one of the spheres surface area is 9 times the other ( Surface Area 1 = 9 * Surface Area 2)

User A J Qarshi
by
3.7k points