A sector with a radius of 10 cm and a central angle of 270° forms a cone with a height of 8 cm. What is the volume of the cone in cubic centimeters?
一个半径是10厘米，圆心角是270°的扇形，围成一个高是8厘米的圆锥，求圆锥的体积是多少立方厘米？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">270 / 360</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">2 * 3.14 * 10 * (3/4)</gadget>
<output>47.1</output>

<gadget id="calculator">47.1 / 3.14 / 2</gadget>
<output>7.5</output>

<gadget id="calculator">7.5 ** 2</gadget>
<output>56.25</output>

<gadget id="calculator">(1/3) * 3.14 * 56.25 * 8</gadget>
<output>471</output>

<result>471</result>