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## Surface Area of a Cylinder

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**Surface Area of a Cylinder**By Mr. Martin**Overview**• 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 Measurements of the can.**The Top**• Formula for Area Circle? • Area = Pi x r2 • Area= Pi x 3.752 • Area=3.14 (14.0625) • Area=44.15625 sq cm Radius (r)**The Bottom**• Same as top • Area = Pi x r2 • Area= Pi x 3.752 • Area=3.14 (14.0625) • Area=44.15625 sq cm**Height**The Label • What shape? • rectangle • Formula for area? • Height x width • Height? • 11cm Width • Width? • Pi x Diameter • Area = 11(3.14)(7.5)= 259.05 sq cm**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 cm Note: These are not the actual dimensions of the can.