The packaging company received a business from the eight-treasure porridge company: please design a box for the company that can hold 6 cans of eight-treasure porridge. How to design with the least material? How much cardboard is the minimum required?
包装公司接到八宝粥公司的一个业务：请为本公司设计一个能装6罐八宝粥的盒子，八宝粥罐子为圆柱形，底面直径5厘米，高14厘米，如果你是包装公司的设计员，你计划怎样设计用料最少？最少需要多少硬纸板？
<gadget id="calculator">5 * 3</gadget>
<output>15</output>

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

<gadget id="calculator">15 * 10</gadget>
<output>150</output>

<gadget id="calculator">15 * 14</gadget>
<output>210</output>

<gadget id="calculator">10 * 14</gadget>
<output>140</output>

<gadget id="calculator">150 + 210 + 140</gadget>
<output>500</output>

<gadget id="calculator">500 * 2</gadget>
<output>1_000</output>

<result>1_000</result>