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Volume of Solids of Revolution
Transcript
Volume of Solids of Revolution
By Nick Han & JJ Rao
Cross section
Function
Lamination
- Function: F(x)=Sin(ㅠx)+5
- Interval: [0,15]
The Cross Section is a Circle
with a radius: F(x) = Sin(ㅠX)+5
Area= ㅠ F(x)^2
Volume found by integration
Each lamination is formed with 3 foam sheets (.6cm)
We used 25 lamination
Volume of Each Lamination : ㅠ(f(x)^2)(.6)
Graph
Table
Volume found by NINT
Approach
= 1221.659
ㅠ
We used RRS: 47.124+66.756+36.696+36.696+66.756+47.124+30.902+59.855+58.855+30.902+47.124+66.756+36.696+36.696+66.756+47.124+30/902+58.855+58.855+30/902+47.124+55.756+36.696+36.696+66.756 =1215.354
Sources of Error
Prepare a straight wire
Prepare a better scissor and glue
Integrate the function more slowly and carefully
Sum of individual volumes
Sources of Info.
V= 1262.76
Larson/Edwards Calculus of a Single Variable
Desmos graphing calculator
https://www.desmos.com/calculator
Ti-84 Texas Instrument Scientific Calculator
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