数学题:将一块圆锥形糕点沿着高切成两半

  • 时间:2020-06-05 20:30:28
  • 分类:数学世界
  • 阅读:157 次

数学题:将一块圆锥形糕点沿着高切成两半,表面积比原来增加了36cm2,测得圆锥形糕点的高是9cm,原来这块糕点的体积是多少?

数学题解答:以前发过类似的题目。如:http://www.ziyo.org/archives/3064.html

解答本题先弄清:表面积在哪里增加的?增加了几个面?是什么形状的?

答案分别是:在切面处增加了2个面,这2个面是相等的三角形。这两个三角形的底是圆锥的底面直径,高是圆锥的高。

切开处每个三角形的面积:36÷2=18(平方厘米)

圆锥的底面直径:18×2÷9=4(厘米)

圆锥的体积:3.14 × (4÷2) 2× 9 × 1/3 = 37.68(立方厘米)

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