Jesse cuts a circular paper disk of radius 12 along two radii to form two sectors, the smaller having a central angle of 120 degrees. He makes two circular cones, using each sector to form the lateral surface of a cone. What is the ratio of the volume of the smaller cone to that of the larger?

**Answer Choices**

A. \dfrac{1}{8}

B. \dfrac{1}{4}

C. \dfrac{\sqrt{10}}{10}

D. \dfrac{\sqrt{5}}{6}

E. \dfrac{\sqrt{10}}{5}