Given that the ratio of the diameter of the base to the height of the cone is 3:4, and the diameter of the base is 12 cm, find the volume of the cone.
已知圆锥的底面直径和高的比是3：4，底面直径是12厘米，求圆锥的体积．
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">12 / 2</gadget>
<output>6</output>

<gadget id="calculator">6 ** 2</gadget>
<output>36</output>

<gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>

<gadget id="calculator">12 * (4/3)</gadget>
<output>16</output>

<gadget id="calculator">(1/3) * 3.14 * 36 * 16</gadget>
<output>602.88</output>

<result>602.88</result>