### Home > INT2 > Chapter 11 > Lesson 11.2.1 > Problem11-47

11-47.

A cylinder with volume $500π$ cm$^3$ is similar to a smaller cylinder. If the volume of the smaller cylinder is $4π$ cm$^3$, what is the ratio of the heights of the cylinders? Explain your reasoning.

The ratio of the volumes is equal to the scale factor cubed, so the ratio of the heights is the cube root of the volume ratio.