1. Surface Area and Volume of Cones
Section 10-7
Geometry PreAP, Revised ©2014
2/24/2019 3:59 AM
10-5: Surface Area of Pyramid and Cone

2. 10-5: Surface Area of Pyramid and Cone
Formulas for Cones
Lateral Area of a Regular Cone: LSA = 1/2Ph or LSA = πrl where r is the radius and l is slant height
Total Surface Area of a Regular Cone: SA = 1/2Ph + B or SA = πrl + πr2
Volume of a Cone: V = 1/3 πr2h
Slant height is only used for lateral and total surface area
2/24/2019 3:59 AM
10-5: Surface Area of Pyramid and Cone

3. 10-5: Surface Area of Pyramid and Cone
Example 1
Find the lateral area and surface area of a right cone with radius 9 cm and slant height 5 cm.
2/24/2019 3:59 AM
10-5: Surface Area of Pyramid and Cone

4. 10-5: Surface Area of Pyramid and Cone
Example 2
Find the lateral and total surface area of the cone.
2/24/2019 3:59 AM
10-5: Surface Area of Pyramid and Cone

5. 10-5: Surface Area of Pyramid and Cone
Your Turn
Find the surface area of the composite figure.
2/24/2019 3:59 AM
10-5: Surface Area of Pyramid and Cone

6. 10-5: Surface Area of Pyramid and Cone
Example 3
Find the volume of a cone with radius 7 cm and height 15 cm. Give your answers in terms of 
2/24/2019 3:59 AM
10-5: Surface Area of Pyramid and Cone

7. 10-5: Surface Area of Pyramid and Cone
Example 4
Find the volume of a cone.
2/24/2019 3:59 AM
10-5: Surface Area of Pyramid and Cone

8. 10-5: Surface Area of Pyramid and Cone
Assignment
Page , 22, 24-27, 33, 36
2/24/2019 3:59 AM
10-5: Surface Area of Pyramid and Cone