If the scale factor of two similar solids is a:b, then the ratio of their corresponding volumes is a^3:b^3.
27:1
If the scale factor of two similar solids is a:b, then the ratio of their corresponding volumes is a^3:b^3.
Consider the given solids.
We are told that the cylinders are similar. We are also given the heights of each one. Let's write the ratio of heights as a fraction to find the scale factor.
height of the large cylinder/height of the small cylinder=75/25 or 3/1
The scale factor is 31. Recalling that if the scale factor is ab, then the ratio of volume is a^3b^3
a^3/b^3=3^3/1^3 or 27/1
The scale factor of the volumes is 27:1.
