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Surface Area of Cylinders

SURFACE AREA of a CYLINDER.

Imagine that you can open up a cylinder like so

You can see that the surface is made up of two

circles and a rectangle.

The length of the rectangle is the same as the

circumference of the circle!

EXAMPLE Round to the nearest TENTH.

Top or bottom circle A pr² A p(3.1)² A

p(9.61) A 30.2 cm²

Rectangle C length The length is the same as

the Circumference C p dC p(6.2)C 19.5

cm Now the area A lwA 19.5(12)A 234 cm²

Now add

30.2 30.2

234

SA 294.4 in²

Example 1

Rectangle

C 2?r

5 m

C 2(3.14)(5)

C 31.4 m

A lw

16 m

A 31.4(16)

A 502.4 m2

Area of the circles

Put the areas together

A ?r2

A 3.14(52)

S.A. 157 m2 502.4 m2

A 3.14 (25)

S.A. 659.4 m2

A 78.5 m2

2 circles 78.5 x 2 157 m2

EX2) S 2pr2 2prh

2p(42) 2p(4)(6)

80p in2 ? 251.2 in2

15 cm

EX3) S 2pr2 2prh

3 cm

2p(152) 2p(15)(3)

540p in2 ? 1695.6 cm2

Example 4)

A cylindrical soup can is 7.6 cm in diameter and

11.2 cm tall. What is the area of the label that

covers the side of the can?

Only the lateral surface needs to be covered.

L 2?rh

2?(3.8)(11.2)

Diameter 7.6 cm, so r 3.8 cm.

267.3 cm2

notes

Surface Area of Cylinders

- Date______________

SURFACE AREA of a CYLINDER.

Imagine that you can open up a cylinder like so

You can see that the surface is made up of two

circles and a rectangle.

The length of the rectangle is the same as the

circumference of the circle!

Example 1

Rectangle

5 m

16 m

Area of the circles

Put the areas together

EX2) S 2pr2 2prh

EX3) S 2pr2 2prh

Example 4)

A cylindrical soup can is 7.6 cm in diameter and

11.2 cm tall. What is the area of the label that

covers the side of the can?

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For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

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