Divide a cylindrical wooden block into several small pieces along the center point of the bottom surface, and then put together a (approximate) cuboid. The length of the cuboid is the height of the cylinder, and the surface area of the cuboid is 150 square centimeters larger than that of the cylinder. It is known that the ratio of the height to the diameter of the base of a cylinder is 3:2. What is the volume of the cuboid.
把一个圆柱体木块，沿着底面的中心点分割成若干小块，然后拼成一个(近似)长方体，长方体的长就是圆柱体的高，长方体的表面积比圆柱体的表面积多150平方厘米．已知圆柱体的高与底面直径的比是3：2．长方体的体积是多少．
<gadget id="calculator">10 / 2</gadget>
<output>5</output>

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

<gadget id="calculator">3.14 * 25 * 15</gadget>
<output>1_177.5</output>

<result>1_177.5</result>