Surface Area of Cylinders 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 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). A B

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 B Total 5cm A 8cm B

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 5cm A 8cm B

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 5cm A 8cm B

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 5cm A 8cm B

A = 2πr * h Surface Area A = b * h A B A B Total Side Area Total Area Number of Sides Total Area A 78.5 cm2 2 157 cm2 B Total 5cm A 8cm B

A = 2πr * h A = 2 (3.14) (5) * 8 Surface Area A B A B Total Side Area Number of Sides Total Area A 78.5 cm2 2 157 cm2 B Total 5cm A 8cm B

A = 2πr * h A = 251.2 cm2 Surface Area A B A B Total Side Area Number of Sides Total Area A 78.5 cm2 2 157 cm2 B 251.2 cm2 1 Total 5cm A 8cm B

A = 2πr * h A = 251.2 cm2 Surface Area A B A B Total Side Area Number of Sides Total Area A 78.5 cm2 2 157 cm2 B 251.2 cm2 1 Total 408.2 cm2 5cm A 8cm B

Sketch cylinder and copy table. Work together to find the S.A. Surface Area Side Area Number Sides Total Area

Surface Area Assignment A A Sketch cylinder and copy table. Calculate S.A. Side Area Number Sides Total Area 4.1m A A 1.9m