A conical aluminum block with a base radius of 20 cm and a height of 27 cm and a cylindrical aluminum block with a base radius of 30 cm and a height of 20 cm are cast into a cylindrical aluminum block with a base radius of 15 cm. Find the cylinder The height of the shaped aluminum block?
将一个底面半径为20厘米、高27厘米的圆锥形铝块，和一个底面半径为30厘米、高20厘米的圆柱形铝块，熔铸成一底面半径为15厘米的圆柱形铝块，求这个圆柱形铝块的高？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">20 ** 2</gadget>
<output>400</output>

<gadget id="calculator">(1/3) * 3.14 * 400 * 27</gadget>
<output>11_304</output>

<gadget id="calculator">30 ** 2</gadget>
<output>900</output>

<gadget id="calculator">3.14 * 900 * 20</gadget>
<output>56_520</output>

<gadget id="calculator">11_304 + 56_520</gadget>
<output>67_824</output>

<gadget id="calculator">15 ** 2</gadget>
<output>225</output>

<gadget id="calculator">3.14 * 225</gadget>
<output>706.5</output>

<gadget id="calculator">67_824 / 706.5</gadget>
<output>96</output>

<result>96</result>