<image>(2023 sixth grade, Dingbian final exam) The top is one of the earliest entertainment tools in Chinese folklore. Due to its versatile ways of playing, it is loved by many. It has a cylindrical shape at the top and a conical shape at the bottom. When playing, a string can be wound around it, and by pulling the string with force, the top can stand upright and spin, providing endless fun. After testing, it was found that when the height of the cone is $$ \frac{3}{4} $$ of the height of the cylinder, the top spins both stably and quickly. The figure shows the model of the top. The diameter of the cylinder is 12 cm, and its height is 10 cm. Please calculate the volume of this top in cubic centimeters.
