IT-CESENATICO 1985 Problem 2

When a right triangle is rotated about one leg, the volume of the cone produced is $800 \pi$ $\text{cm}^3$ . When the triangle is rotated about the other leg, the volume of the cone produced is $1920 \pi$ $\text{cm}^3$ . What is the length (in cm) of the hypotenuse of the triangle?