A conical block with a base radius of 5 cm is cut into two equal pieces vertically from the apex along the height. Then the surface area increases by 180 square centimeters. Find the volume of this cone.
把一个底面半径是5厘米的圆锥形木块从顶点处沿高竖直把它切成相同的两块．这时表面积增加180平方厘米．求这个圆锥的体积．
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">5 ** 2</gadget>
<output>25</output>

<gadget id="calculator">180 / 2</gadget>
<output>90</output>

<gadget id="calculator">5 * 2</gadget>
<output>10</output>

<gadget id="calculator">2 / 10</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">90 * (1/5)</gadget>
<output>18</output>

<gadget id="calculator">(1/3) * 3.14 * 25 * 18</gadget>
<output>471</output>

<result>471</result>