1. Cylinder – Surface Area – Demonstration
This resource provides animated demonstrations of the mathematical method.
Check animations and delete slides not needed for your class.

2. Cylinders: Surface Area
How many sides do these shapes have?
What 2D shapes are the sides?
Sketch the packaging flat in your books.
Lid
Base

3. Circumference of a circle = 𝜋𝑑
How can we calculate the
surface area of this can/cylinder?
What is the area of the cylinder’s surfaces?
What is the net of the cylinder?
Area of a circle = 𝜋𝑟2
Circumference of a circle = 𝜋𝑑

4. 5 cm 5 cm 7 cm Circumference = 𝜋 x 5 1) Label 2) Top
3) Bottom
1) Label = 7 × (𝜋 × 5) = cm2
2) Top = 𝜋 × 2.52 = cm2
3) Bottom = 𝜋 × 2.52 = cm2
5 cm
5 cm
Total Surface Area = cm2
7 cm
425:75:385 EWR
Circumference = 𝜋 x 5

5. 3 cm 3 cm 5 cm 5 cm 𝜋 × 3 cm Sketch the net Add measurements
Calculate the area of each shape
Total the areas
3 cm
3 cm
5 cm
5 cm
𝜋 × 3 cm
1) Label = 5 × (𝜋 × 3) = cm2
2) Top = 𝜋 × 1.52 = 7.07 cm2
3) Bottom = 𝜋 × 1.52 = 7.07 cm2
Total Surface Area = cm2

6. 5 cm 5 cm 2 cm 2 cm 𝜋 × 5 cm 1) Label = 2 × (𝜋 × 5) = 31.42 cm2
Sketch the net
Add measurements
Calculate the area of each shape
Total the areas
2) Top = 𝜋 × 2.52 = cm2
3) Bottom = 𝜋 × 2.52 = cm2
Total Surface Area = cm2

7. 4 cm A 5 cm B 3 cm 8 cm C 6 cm 5 cm Example
Calculate the surface area of these prisms.
Give you answers to 2 dp.
4 cm
3 cm
5 cm
𝜋 × 3 cm A
5 cm
3 cm B
8 cm
This is a half-cylinder
1) Label = 5 × (𝜋 × 3) = cm2 C
2) Top = 𝜋 × 1.52 = 7.07 cm2
6 cm
3) Bottom = 𝜋 × 1.52 = 7.07 cm2
Total Surface Area = cm2
5 cm

8. 4 cm A SA = 87.96 cm2 5 cm B 3 cm SA = 89.54 cm2 8 cm C 6 cm
Example
Calculate the surface area of these prisms.
Give you answers to 2 dp.
4 cm
3 cm
5 cm
𝜋 × 3 cm A
SA = cm2
5 cm
3 cm B
SA = cm2
8 cm
This is a half-cylinder
1) Label = 5 × (𝜋 × 3) = cm2 C
2) Top = 𝜋 × 1.52 = 7.07 cm2
6 cm
3) Bottom = 𝜋 × 1.52 = 7.07 cm2
SA = cm2
Total Surface Area = cm2
5 cm

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