Cut a cylinder along the diameter of the bottom surface and divide it into two equal half cylinders. The surface area increases by 160 square centimeters. It is known that the radius of the bottom surface of the cylinder is 4 centimeters. What is the volume of this cylinder in cubic centimeters?
把一个圆柱沿底面直径切开，分成两个相等的半圆柱，表面积增加160平方厘米，已知圆柱的底面半径为4厘米，这个圆柱的体积是多少立方厘米．
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>

<gadget id="calculator">4 * 2</gadget>
<output>8</output>

<gadget id="calculator">160 / 2 / 8</gadget>
<output>10</output>

<gadget id="calculator">3.14 * 16 * 10</gadget>
<output>502.4</output>

<result>502.4</result>