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Surface Area of Cylinders Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Surface area of a cylinder
The total area of the curved surface and the two circular ends of the cylinder.
Formula for surface area of a cylinder
Surface area = 2πr² + 2πrh, where r is the radius and h is the height.
Curved surface area of a cylinder
Curved surface area = 2πrh, where r is the radius and h is the height.
Area of one circular end of a cylinder
Area = πr², where r is the radius.
Total area of both circular ends of a cylinder
Total area = 2πr², since there are two circular ends.
Units for surface area
Surface area is measured in square units, e.g., cm², m².
Key step: Finding the radius
The radius (r) is half the diameter of the circular base of the cylinder.
Key step: Adding all areas
To find the total surface area, add the curved surface area and the area of both circular ends.
Example: Surface area of a cylinder with r=3cm and h=5cm
Surface area = 2π(3)² + 2π(3)(5) = 2π(9) + 2π(15) = 18π + 30π = 48π cm².
Common mistake in surface area of cylinders
Forgetting to include both circular ends or miscalculating the curved surface area.
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