6.4 Surface Area of a Cone
- Author:
- Karla Leal, Edward Knote
Use slide r to change the radius of the base and slider h to change height of the cone. Finally use the Net slider or press the play button to show how the cone unraps into its net.
Answer the following questions based on the net of the cone. Think about the formula for arc length to help you with this.
1) What shape is the base of the cone?
2) What shape is the lateral surface of the cone?
3) What are the radii of the 2 shapes in terms of r, h and slant height?
4) How is arc length and area of an arc related to the area of the curved surface?
5) Describe a plan for finding the surface area of the cone.