10-4: Surface Area of Cylinders Page 665 & 685 22) Yes 23) 24) No 25) Page 685 13) LSA = 200 cm2 SA = 250 cm2 14) LSA = 1080 cm2 SA = 1080 + 432√3 cm2 22) Multiplied by 4 25) h = 3.5m 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

Surface Area of Cylinders Section 10-4 Geometry PreAP, Revised ©2014 viet.dang@humble.k12.tx.us 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

Surface Area vs. Lateral Surface Area The surface area of a 3-D figure is the sum of the areas of all the faces or surfaces that enclose the solid. 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Definitions The lateral surface of a cylinder is the curved surface that connects the two bases. The axis of a cylinder is the segment with endpoints at the centers of the bases. The axis of a right cylinder is perpendicular to its bases. The axis of an oblique cylinder is not perpendicular to its bases. The altitude of a right cylinder is the same length as the axis. 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

Area Formulas for Prisms Lateral Area of a Right Cylinder: L = 2πrh where r is radius and h is height Surface Area of a Right Cylinder: S = 2πrh + 2πr2 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

Expanding the Formulas Lateral Surface Area of a Cylinder: C = circumference of base r = radius of base h = height of the cylinder Total Surface Area of a Cylinder: 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Example 1 Find the lateral area and surface area of the right cylinder. Give your answers in terms of . 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Example 1 Find the lateral area and surface area of the right cylinder. Give your answers in terms of . 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Example 2 Find the surface area of the composite figure. 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Example 2 Find the surface area of the composite figure. 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Example 2 Find the surface area of the composite figure. 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Example 3 Find the surface area of the composite figure. 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Example 3 Find the surface area of the composite figure. 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Example 3 Find the surface area of the composite figure. 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Your Turn Find the surface area of the composite figure. 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Example 3 The height and diameter of the cylinder are multiplied by 1/2. Describe the effect on the surface area. 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Your Turn Find the lateral and volume of a right cylinder with base area 144 cm2 and a height that is 1/3 the radius 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders

10-4: Surface Area of Cylinders Assignment Page 685 16-21 all, 24, 33 11/19/2018 9:32 AM 10-4: Surface Area of Cylinders