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

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

3. Surface Area of a Cylinder
Surface area = 2r(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

4. 2r(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

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

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

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

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