geometry
DESCRIPTION
Geometry. Surface Area of Cylinders. 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. Surface Area. - PowerPoint PPT PresentationTRANSCRIPT
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Geometry
Surface Area of Cylinders
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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 r2
Side Area Number of
Sides
Total Area
AB
Total
B
A5cm
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 r2
Side Area Number of Sides
Total Area
A 78.5 cm2
2 157 cm2
B
Total
B
A5cm
8cm
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Surface Area
If we “unwrapped” the cylinder, what shape would the outside “B” be?
Side Area Number of Sides
Total Area
A 78.5 cm2
2 157 cm2
B
Total
B
A5cm
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.
Side Area Number of Sides
Total Area
A 78.5 cm2
2 157 cm2
B
Total
B
A5cm
8cm
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Surface Area
A = b * hA = 2πr * h
Side Area Number of Sides
Total Area
A 78.5 cm2
2 157 cm2
B
Total
B
A5cm
8cm
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Surface Area
A = 2πr * hA = 2 (3.14) (5) * 8
Side Area Number of Sides
Total Area
A 78.5 cm2
2 157 cm2
B
Total
B
A5cm
8cm
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Surface Area
A = 2πr * hA = 251.2 cm2
Side Area Number of Sides
Total Area
A 78.5 cm2 2 157 cm2
B 251.2 cm2
1 251.2 cm2
Total
B
A5cm
8cm
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Surface Area
A = 2πr * hA = 251.2 cm2
Side Area Number of Sides
Total Area
A 78.5 cm2 2 157 cm2
B 251.2 cm2
1 251.2 cm2
Total 408.2 cm2
B
A5cm
8cm
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Surface Area
Sketch cylinder and copy table. Work together to find the S.A.
Side Area Number Sides
Total Area
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Surface Area
Assignment
Side Area Number Sides
Total Area
AA
4.1m
1.9m
Sketch cylinder and copy table. Calculate S.A.