Cylinder – Cone – Sphere (AYT)
Learning Time: 5-15 hours
Content: Cylinder, cone, and sphere are three-dimensional objects in space geometry. The AYT curriculum focuses on surface area, volume calculation, cross-sectional analysis, spatial positioning, and complex problems. This topic covers analytical solutions of solid objects. The current 2025 AYT curriculum also includes vectors and applications in space.
- Cylinder:
- Surface Area (2πr² + 2πrh)
- Volume (V = πr²h)
- Section Analysis
- Cone:
- Surface Area (πr² + πrl)
- Volume (V = 1/3 πr²h)
- Section and Oblique Cones
- Sphere:
- Surface Area (4πr²)
- Volume (V = 4/3 πr³)
- Section and Symmetry Analysis
- Advanced Analysis:
- In Space Positioning
- Vector Volume Calculation
- Complex Proofs
- Applications:
- Solid Body Design in Engineering
- Geometric Solutions in Space
- Trigonometric Modeling
- Affecting Factors:
- Dimension Values
- Section Angle
- Coordinate System
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Expert
- Language English
- Students 15
- Assessments Yes
