Surface Area and Volume of Cones

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Presentation transcript:

Surface Area and Volume of Cones Section 10-7 Geometry PreAP, Revised ©2014 viet.dang@humble.k12.tx.us 2/24/2019 3:59 AM 10-5: Surface Area of Pyramid and Cone

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

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

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

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

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

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

10-5: Surface Area of Pyramid and Cone Assignment Page 710 17-20, 22, 24-27, 33, 36 2/24/2019 3:59 AM 10-5: Surface Area of Pyramid and Cone