此时水的高度是多少

  • 时间:2020-05-27 19:09:25
  • 分类:数学世界
  • 阅读:147 次

群中“沉默地诠释友情”同学提问:将底面直径2厘米的圆柱形容器内装满10厘米深的水,然后倒入底面直径3厘米的圆柱形容器内,当两容器内水高度相同时,此时水的高度是多少?最好不是用方程解,谢谢!

数学题解答:题目有些难度,还是先看看用方程怎么做吧!数量关系:两个容器中水的体积之和等于原来水的体积。解:设此时水的高度是x厘米。

3.14×(2÷2)2×x+3.14×(3÷2)2×x=3.14×(2÷2)2×10

x=40/13

答:此时水深是40/13厘米。

“沉默地诠释友情”:我想出了算术方法,大家看看对不对:用水的体积除以两个底面面积之和就可以了。

半径:2÷2=1cm

半径:3÷2=1.5cm

水的体积:1×1x3.14×10=31.4(立方厘米)

此时水的高度:31.4÷(1×1x3.14+1.5×1.5×3.14)=40/13(厘米)

推荐阅读:
Walking Robot Simulation Algorithm with Obstacles Detection  The Selection Sorting Algorithm in VBScript  Find the Queens That Can Attack the King  4 Bloggers Who Were Killed Because Of Their Content  Top Mobile Technology Trends for Bloggers  The Vital Common Sense Marketing Strategy You May Have Forgotten  The 7 Features of a Successful Product Demo Video  Top Facebook Marketing Partner Comments On Facebook’s Newest Vid  Animoto Adds Square Video for Increased Social Media and Mobile   4 Things You Need to Know When Funding Your Freelance Business 
评论列表
添加评论