Volume of a Tree
applied
This could be a novel way to explore fractals - Explore the mathematical principles and create your own unique investigation.
Introduction
Is it possible to determine the volume of a pine tree? Is is just conical? Can the model be simplified to demonstrate an understanding of fractals? Research Koch snowflake as an example and perhaps explore different shapes?
Guiding Questions
- What geometric shapes are involved?
- How can you express the volume as a function?
- Can you use calculus (integration) to find exact volumes?
- How do parameter changes affect the volume?
- What assumptions and approximations are you making?
Key Mathematical Concepts
3D Geometry
Integration
Measurement
Volume Calculation