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Published byRobyn Baldwin Modified over 9 years ago
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Geometry Surface Area of Cylinders By Mr. Wall
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Surface Area Cylinder – (circular prism) a prism with two parallel, equal circles on opposite sides. To find the surface area of a cylinder we can add up the areas of the separate faces.
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Surface Area In a cylinder there are a pair of opposite and equal circles. We can find the surface area of a cylinder by adding the areas of the two blue ends (A) and the yellow sides (B). B A
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Surface Area We can find the area of the two ends (A) by using the formula for the area of a circle. A = π r 2 SideArea Number of Sides Total Area A B Total B A 5cm 8cm
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Surface Area We can find the area of the two ends (A) by using the formula for the area of a circle. A = π r 2 SideArea Number of Sides Total Area A 78.5 cm 2 2 157 cm 2 B Total B A 5cm 8cm
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Surface Area If we “unwrapped” the cylinder, what shape would the outside “B” be? SideArea Number of Sides Total Area A 78.5 cm 2 2 157 cm 2 B Total B A 5cm 8cm
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Surface Area “B” would be in the shape of a rectangle, with the height forming one side and the circumference of the top forming the second side. SideArea Number of Sides Total Area A 78.5 cm 2 2 157 cm 2 B Total B A 5cm 8cm
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Surface Area A = b * h A = 2πr * h SideArea Number of Sides Total Area A 78.5 cm 2 2 157 cm 2 B Total B A 5cm 8cm
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Surface Area A = 2πr * h A = 2 (3.14) (5) * 8 SideArea Number of Sides Total Area A 78.5 cm 2 2 157 cm 2 B Total B A 5cm 8cm
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Surface Area A = 2πr * h A = 251.2 cm 2 SideArea Number of Sides Total Area A 78.5 cm 2 2 157 cm 2 B 251.2 cm 2 1 Total B A 5cm 8cm
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Surface Area A = 2πr * h A = 251.2 cm 2 SideArea Number of Sides Total Area A 78.5 cm 2 2 157 cm 2 B 251.2 cm 2 1 Total 408.2 cm 2 B A 5cm 8cm
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Surface Area Sketch cylinder and copy table. Work together to find the S.A. SideArea Number Sides Total Area
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Surface Area Assignment SideArea Number Sides Total Area A A 4.1m 1.9m Sketch cylinder and copy table. Calculate S.A.
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