The ratio of the base area of a cylinder to a cone is 5:6, the volume ratio of the cone to the cylinder is 3:4, the sum of the height of the cylinder and the cone is 69 cm, what is the height of the cone in cm.
一个圆柱和一个圆锥底面积的比是5：6，圆锥和圆柱的体积比是3：4，圆柱和的圆锥高的和是69厘米，圆锥的高是多少cm．
<gadget id="calculator">8 + 15</gadget>
<output>23</output>

<gadget id="calculator">15 / 23</gadget>
<output>15/23 = around 0.652174</output>

<gadget id="calculator">69 * (15/23)</gadget>
<output>45</output>

<result>45</result>