1. Surface Area of a Cone and Pyramid

2. A cone has a circular base and a vertex that is not in the same plane as a base. In a right cone, the height meets the base at its center. Height Lateral Surface The vertex is directly above the center of the circle. Base r Slant Height r

3. Surface Area of a Cone Surface Area = area of base + area of sector = area of base + π(radius of base)(slant height) r

4. Lateral Area of a Cone Since Lateral Area = Surface Area – area of the base L.A. =

5. Example 1: Find the surface area of the cone to the nearest whole number. a.r = 4 slant height = 6 4 in. 6 in.

6. On your own #1 Calculate the surface area of: S =  (7) 2 +  (7)(11.40) S = 49  + 79.80  S = 128.8 

7. Pyramids cont. The length of the altitude is called the height. Height Pyramid

8. Pyramids cont. Slant Height – the length of the altitude of the lateral face. Slant Height Pyramid

9. Formulas Lateral Area and Surface Area of a Regular Pyramid Lateral Area Base Perimeter Slant Height Surface Area Lateral Area Base Area B

10. Example 1: Finding Surface Area of a Pyramid Find the surface area of a square pyramid with base edges 5 m and slant height 3 m.

11. #3 Find the surface area of: 12 m

12. #4 Find the surface area of: 10” 15” 10” S = L + B S = ½ (40)(15) + (10)(10) S = 400 in 2