If a cylindrical bottle with a base circumference of 62.8 cm and a height of 30 cm is to be completely packed in a cuboid carton, what is the minimum surface area in the carton?
要把一个底面周长是62.8厘米，高是30厘米的圆柱形瓶子放在一个长方体纸盒中完全包装起来，这个纸盒中的表面积至少是多少平方厘米？
<gadget id="calculator">400 + 600 + 600</gadget>
<output>1_600</output>

<gadget id="calculator">1_600 * 2</gadget>
<output>3_200</output>

<result>3_200</result>