Surface Area of a Cylinder

By Mr. Martin

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.

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

The Bottom

• Same as top

• Area = Pi x r2

• Area= Pi x 3.752

• Area=3.14 (14.0625)

• Area=44.15625 sq cm

• What shape?– rectangle

• Formula for area?– Height x width

• Height?– 11cm

The

Lab

el

• Width?– Pi x Diameter

• Area = 11(3.14)(7.5)=

259.05 sq cm

Width

Height

Add Top, Bottom and Label

• 44.15625 + 44.15625 + 259.05 = 347.3625 square cm

Top Bottom

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.