A cylindrical iron block with a base area of 70 square centimeters and a height of 6 centimeters is melted and cast into a cone. It is known that the base area of the cone is 90 square centimeters. What is the height of the cone in centimeters?
把底面积70平方厘米，高6厘米的圆柱铁块熔铸成一个圆锥，已知圆锥的底面积是90平方厘米，圆锥的高是多少厘米？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">6 / (1/3) / 90</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">70 * (1/5)</gadget>
<output>14</output>

<result>14</result>