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Quietly get started on the blue worksheet. Try the rectangular prism problems first. Today’s Plan: -Warm-up -Correct Homework -Cylinder Surface Area LT: I will calculate the surface area of prisms. 04/20/11 Surface Area

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Correct Assignments: MSP practice worksheet (2 4-step problems) And pg 489 #1,2,7,&8 (showing all work) & Yellow Volume worksheet Today’s Plan: -Warm-up -Surface Area LT: I will calculate the surface area of prisms. 04/20/11 Surface Area

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If you could remove the lateral surface from a cylinder, like peeling a label from a can, you would see that it has the shape of a rectangle when flattened out. You can draw a net for a cylinder by drawing the circular bases (like the ends of a can) and the rectangular lateral surface as shown below. The length of the rectangle is the circumference, 2r, of the cylinder. So the area of the lateral surface is 2r. The area of each base is r 2. r Circumference of cylinder (2r) h Course 2 9-4 Surface Area of Prisms, Cylinders, and Spheres

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SURFACE AREA OF A CYLINDER The surface area S of a cylinder is the sum of the areas of its bases, 2r 2, plus the area of its lateral surface, 2rh. S= 2r 2 + 2rh Course 2 9-4 Surface Area of Prisms, Cylinders, and Spheres

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Find the surface area of the cylinder formed by the net to the nearest tenth. Use 3.14 for . Additional Example 2: Finding the Surface Area of a Cylinder 6 ft 8.3 ft S = 2r 2 + 2rh S (2 · 3.14 · 6 2 ) + (2 · 3.14 · 6 · 8.3) Substitute. Use the formula. S 226.08 + 312.744 S 538.824 S 538.8 The surface area of the cylinder is about 538.8 ft 2. Multiply. Add. Round. Course 2 9-4 Surface Area of Prisms, Cylinders, and Spheres

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Find the surface area of the cylinder formed by the net to the nearest tenth. Use 3.14 for . 9 ft 20 ft S = 2r 2 + 2rh S (2 · 3.14 · 9 2 ) + (2 · 3.14 · 9 · 20) Substitute. Use the formula. S 508.68 + 1130.4 S 1,639.08 S 1,639.1 The surface area of the cylinder is about 1,639.1 ft 2. Multiply. Add. Round. Try This: Example 2 Course 2 9-4 Surface Area of Prisms, Cylinders, and Spheres

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Lesson Quiz Find the surface area of each figure to the nearest tenth. 100.5 ft 2 352.0 ft 2 Insert Lesson Title Here 2,317.3 in 2 3. A drum is closed on the top and the bottom. The diameter of the drum is 18 in. The height is 32 in. Find the surface area. 1.2. Course 2 9-4 Surface Area of Prisms, Cylinders, and Spheres

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