Balloon Final Project
Create a cover page that includes:
- Title
- Name
- Partner(s)
- Date
- A visually appealing design
Attachments
- All balloon design materials, including the graph of the balloon, spreadsheet, etc.
- A printout of the 2-D graph of your balloon's equation using Desmos or other software.
- A printout of the 3-D graph of the balloon showing various views.
- A printout of the computer-generated numerical solution for both the volume and surface area of your balloon using GeoGebra or other software. Include a calculation showing the ratio of surface area to volume. For full marks do it using at least two different programs.
- Any other supporting materials, including this handout. Place this handout immediately after the cover page.
http://www.shodor.org/interactivate/activities/FunctionRevolution/
1. Set the
window size to view your balloon.
2. Copy the
regression equation into the function box. (leave g(x) blank)
3. Set options to taste and do a screen capture at a few angles.
https://www.emathhelp.net/calculators/calculus-2/area-of-surface-of-revolution-calculator/ Surface Area
https://www.geogebra.org a) Notation: Integral (f(x),a,b).
b) For 3-D graph use 3-D Calculator (see figure below)
(Set global rounding higher:
Settings>Settings>rounding)
Notation: Surface(f,n,xAxis)
More Desmos: https://www.desmos.com/3d/vtvomle6s1 and
https://www.desmos.com/3d/kud9njtzkx
![[asy] draw(circle((0,0),3)); dot((-2.82,1)); label("A",(-3.05,1.25)); dot((1,2.828)); label("B",(1.25,3.05)); draw((-2.82,1)---(1,2.828)); dot((2.3,-1.926)); label("C",(2.55,-2.346)); dot((-2.12,2.123)); label("D",(-2.37,2.507)); draw((2.3,-1.926)---(-2.12,2.123)); dot((-1.556,1.602)); label("P",(-1.656,1.202)); [/asy]](https://latex.artofproblemsolving.com/4/3/e/43ea0defa651cb6ea1bff713078ff1db02e4bbd2.png)
