Surface Area of Cylinders

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Surface Area of Cylinders
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(No Transcript)
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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

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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?

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EX 2 Find the Lateral Surface Area

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

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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

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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