Cones

The radius of the cone is 1/2 the triangle's side length, so 6 centimeters. The height is 6sqrt(3) centimeters.

$V = \frac{1}{3} \pi r^2 h = \frac{1}{3} \pi \cdot (6^2)(6\sqrt{3}) = \boxed{72 \sqrt{3} \pi}$