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3. Surface Area of a Cylinder h A cylinder is a prism with a circular cross-section. 2r2r

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

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

6. 6 cm The Surface Area of a Cylinder Calculate the surface area of the following cylinders. 15 cm 2.1mm 9.2 mm 3 cm 2 m 1 2 3 SA = 2 x  x 3(3 + 6) = 6  x 9 = 54  = 169.6 cm 2 SA = 2 x  x 2(2 + 15) = 4  x 17 = 68  = 213.6 m 2 SA = 2 x  x 4.6(4.6 + 2.1) = 9.2  x 6.7 = 193.6 mm 2 2  r(r + h)

7. The Surface Area of a Cylinder Find the surface area of the cylinder. 2 m 6m

8. The Surface Area of a Cylinder Find the surface area of the cylinder. 0.7 m 1.5m

9. The Surface Area of a Cylinder Find the surface area of the cylinder. 1.9 m 8m

10. The Surface Area of a Cylinder Find the surface area of the cylinder. 0.76 m 1.3m