问题标题:
数学解题网薄膜是0.1豪米厚,薄膜卷直径为30厘米,卷轴外径为8厘米,请解答薄膜长度.
问题描述:

数学解题网薄膜是0.1豪米厚,薄膜卷直径为30厘米,卷轴外径为8厘米,请解答薄膜长度.

冯桂回答:
  0.1mm=0.01cm   (30-8)÷(0.01×2)=1100,   薄膜长度=[(8+0.01×2)×π+(8+0.01×2+0.01×2)×π+...+(30)×π]   =[(8+0.01×2)×π+(8+0.01×2+0.01×2)×π+...+(8+0.01×2×1100)×π]   =π[8×1100+0.02×(1+2+...+1100)]   =π[8800+0.02×(1101×1100÷2)]   =π[8800+0.02×(605550)]   =3.14[8800+12111]   =3.14×20911   =65660.54(CM)   =656.61(米)
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