A cylinder and a cone have the same volume. It is known that the diameter ratio of the bottom surface of the cylinder to the cone is 5:3, and the height of the cylinder is 3 centimeters. What is the height of the cone in centimeters?
一个圆柱与一个圆锥的体积相等，已知圆柱与圆锥的底面直径比是5：3，圆柱高是3厘米，那么圆锥的高是多少厘米．
<result>25</result>