ratios

[geometryishardsometimes]

The ratio of the volumes of two spheres is 125:8.
a. what is the ratio of the surface areas?
b. what is the ratio of their radii?

I don’t understand ratios at all! help would be greatly appreciated!

 

[MarkFL]

Hello, and welcome to FMH!

If the ratio of the volumes of two similar solids is \(a^3:b^3\), then the ratio of their surface areas will be \(a^2:b^2\). and the ratio of a corresponding linear measure will be \(a:b\).

Can you proceed?

 

[Steven G]

Here is an additional hint: 125 = 5³ and 8 = 2³