Surface area cylinder (1)
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Transcript of Surface area cylinder (1)
![Page 1: Surface area cylinder (1)](https://reader036.fdocuments.us/reader036/viewer/2022081421/587f61931a28ab9b398b5041/html5/thumbnails/1.jpg)
Surface Area of a Cylinder
By Mr. Martin
![Page 2: Surface area cylinder (1)](https://reader036.fdocuments.us/reader036/viewer/2022081421/587f61931a28ab9b398b5041/html5/thumbnails/2.jpg)
Overview
• Behold!Behold! A can with a:– Top (radius 3.75 cm)– Bottom (same as top),
and– Label (11 cm high)
Note: these are not the actual Note: these are not the actual Measurements of the can.Measurements of the can.
![Page 3: Surface area cylinder (1)](https://reader036.fdocuments.us/reader036/viewer/2022081421/587f61931a28ab9b398b5041/html5/thumbnails/3.jpg)
The Top
Radius (r)
• Formula for Area Circle?
• Area = Pi x r2
• Area= Pi x 3.752
• Area=3.14 (14.0625)• Area=44.15625 sq cm
![Page 4: Surface area cylinder (1)](https://reader036.fdocuments.us/reader036/viewer/2022081421/587f61931a28ab9b398b5041/html5/thumbnails/4.jpg)
The Bottom
• Same as top• Area = Pi x r2
• Area= Pi x 3.752
• Area=3.14 (14.0625)
• Area=44.15625 sq cm
![Page 5: Surface area cylinder (1)](https://reader036.fdocuments.us/reader036/viewer/2022081421/587f61931a28ab9b398b5041/html5/thumbnails/5.jpg)
• What shape?– rectangle
• Formula for area?– Height x width
• Height?– 11cm
The
Labe
l
• Width?– Pi x Diameter
• Area = 11(3.14)(7.5)= 259.05 sq cm
Width
Height
![Page 6: Surface area cylinder (1)](https://reader036.fdocuments.us/reader036/viewer/2022081421/587f61931a28ab9b398b5041/html5/thumbnails/6.jpg)
Add Top, Bottom and Label
• 44.15625 + 44.15625 + 259.05 = 347.3625 square cm
Top Bottom
![Page 7: Surface area cylinder (1)](https://reader036.fdocuments.us/reader036/viewer/2022081421/587f61931a28ab9b398b5041/html5/thumbnails/7.jpg)
Now you try:
Radius = 5 cm
Height = 12 cmHeight = 12 cm
Note: These are not the Note: These are not the actual dimensions of the can.actual dimensions of the can.