Given:
Two cylinders are similar. The volume of one is 64 cm³ and the volume of the other is 729 cm³.
We need to determine the scale factor between them.
Scale factor:
Since, it is given that the volume of two cylinders, we need to take cube root.
Thus, we have;
[tex]Scale \ factor=64:729[/tex]
Taking cube root, we get;
[tex]Scale \ factor=\sqrt[3]{64} :\sqrt[3]{729}[/tex]
Simplifying, we have;
[tex]Scale \ factor=4:9[/tex]
Thus, the scale factor between the two cylinders is 4 : 9
