Mensuration 92 _Surface Area Cylinder_

Surface Area of a Cylinder

A cylinder is a prism with a circular cross-section.



2r





h

Surface Area of a Cylinder

A cylinder is a

prism with a

circular cross- r2

section.



2r

Open out





Removing

Surface Area = 2r2 + 2rh

top and h

= 2r(r + h) bottom











r2

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)

8cm

= 6 x 11

= 66

= 207 cm2 (3 sf)

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

Calculate the surface area of the following cylinders.

1

2

3 cm 2m



15 cm

6 cm SA = 2 x  x 2(2 + 15)

= 4 x 17 = 68 = 213.6 m2

3



2.1mm



SA = 2 x  x 3(3 + 6) 9.2 mm

= 6 x 9 = 54 = 169.6 cm2 SA = 2 x  x 4.6(4.6 + 2.1)

= 9.2 x 6.7 = 193.6 mm2

The Surface Area of a Cylinder



Find the surface area of the cylinder.









2m









6m





SA  2 r (r  h )  6 x 5  94.2m 2



 2x  x 3(3  2)

The Surface Area of a Cylinder



Find the surface area of the cylinder.



0.7 m SA  2 r (r  h )





 2x  x 0.7(0.7  1.5)



1.5m



 1.4 x 2.2  9.7m 2

The Surface Area of a Cylinder



Find the surface area of the cylinder.









1.9 m









8m





SA  2 r (r  h )  8 x 5.9  148.3m 2



 2x  x 4(4  1.9)

The Surface Area of a Cylinder



Find the surface area of the cylinder.



0.76 m SA  2 r (r  h )





 2x  x 0.76(0.76  1.3)



1.3m



 1.52 x 2.06  9.8m 2