Answer:
The ratio of the small sphere’s area to that of the big one is 25:64
Step-by-step explanation:
The area of a sphere can be calculated using the formula:
A = 4 π r^2
Now, since their radii are if the ratio 5:8, we can say that the radius of the small sphere is 5 while that of the big sphere is 8
For the small sphere, the value of the area will be 4 * π * 5^2 = 100 π unit
For the big sphere, the value of the area will be 4 * π * 8^2 = 256 π unit
The ratio of the smaller sphere to the larger sphere is;
100 π : 256 π
Divide through by 4
25: 64
