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Surface Area of Cylinders

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Surface Area of a Cylinder

- Total Surface Area area of the two circular

bases and rectangular surface - S 2pr2 2prh
- Lateral Surface Area just the rectangular

surface (can label) - S 2prh

EX 1 Find the Total Surface Area

- S 2pr2 2prh
- S 2p(62) 2p(6)(8)
- S 2(36)p 2(48)p
- S 72p 96p
- S 168p
- S 168(3.14)
- S 527.52 cm2
- What is the lateral surface area?

EX 2 Find the Lateral Surface Area

- S 2prh
- S 2p(4)(12)
- S 72p
- S 72(3.14)
- S 226.08 m2

EX 3 A coke can has a radius of 3 inches and

height of 5 inches. How much aluminum is needed

to make the can?

- S 2pr2 2prh
- S 2p(32) 2p(3)(5)
- S 2(9)p 2(15)p
- S 18p 30p
- S 48p
- S 48(3.14)
- S 150.72 in2

EX 4 A Campbells soup employee needs to know

how much paper is needed to make the label on a

can of Tomato Soup. The can has a radius of 2.5

inches and a height of 5 inches. How much paper

is needed to make the label?

- S 2prh
- S 2p(2.5)(5)
- S 25p
- S 25(3.14)
- S 78.5 in2

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