Question

The ratio of the lengths of the radil of two spheres is 5 : 8 what is the ratio of the surface area of the smaller sphere to the surface area of the larger sphere

Answer 1

The ratio of the small sphere’s area to that of the big one is 25:64

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