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Whiteboardmaths.com © 2004 All rights reserved 5 7 2 1

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**Surface Area of a Cylinder**

A cylinder is a prism with a circular cross-section. 2r h

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**r2 Surface Area of a Cylinder 2r Surface Area = 2r2 + 2rh**

A cylinder is a prism with a circular cross-section. r2 Removing top and bottom 2r Open out h Surface Area = 2r2 + 2rh = 2r(r + h)

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**Surface Area of a Cylinder**

Surface area = 2r(r + h) Find the surface area of the cylinder. 3cm SA = 2 x x 3(3 + 8) = 6 x 11 = 66 = 207 cm2 (3 sf) 8cm

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**2r(r + h) The Surface Area of a Cylinder**

Calculate the surface area of the following cylinders. 1 2 3 cm 2 m 15 cm 6 cm SA = 2 x x 2(2 + 15) = 4 x 17 = 68 = m2 3 2.1mm SA = 2 x x 3(3 + 6) = 6 x 9 = 54 = cm2 9.2 mm SA = 2 x x 4.6( ) = 9.2 x 6.7 = mm2

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**The Surface Area of a Cylinder**

Find the surface area of the cylinder. 2 m 6m

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**The Surface Area of a Cylinder**

Find the surface area of the cylinder. 0.7 m 1.5m

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**The Surface Area of a Cylinder**

Find the surface area of the cylinder. 1.9 m 8m

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**The Surface Area of a Cylinder**

Find the surface area of the cylinder. 0.76 m 1.3m

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Surface Area of Prisms and Cylinders Section 12.2

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