Surface Area of a cylinder

1
Surface Area of a cylinder

• Objective Be able to calculate the surface area
  of a cylinder

2
Cylinder3-dimensional figure with 2 parallel
circular bases and a curved lateral surface the
connects the bases.
Radius
Altitude/height
Base
3
Surface area of a cylinder

• Imagine a cylinder opened out

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Surface area of a cylinder
Cpd or 2pr
2pr
h
h
Area of the rectangle is length x width 2pr
x h Lateral Area 2prh
5
Surface area of a cylinder
Apr2
Area of the each end is pr2 So area of both
circles is 2pr2
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Surface area of a cylinder
pr2
2prh
Total surface area is 2prh 2pr2
pr2
7
Surface area of a cylinder
5 cm
Find the surface area of a cylinder of radius 5
cm and height 10 cm
10 cm

• Area of rectangle 2prh 2 x 3.14 x 5 x
  10 314 cm2
• Area of two ends 2pr2 2 x 3.14 x 5 x
  5 157 cm2
• Total surface area is 2prh 2pr2
• Total surface area 314 157 471 cm2

2 x 3.14 x 5 cm
10cm
5 cm
8
Volume of a cylinder

• Volume of a cylinder pr h

2