Cylinder – Surface Area – Demonstration

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Presentation transcript:

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

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

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

5 cm 5 cm 7 cm Circumference = 𝜋 x 5 1) Label 2) Top 3) Bottom 1) Label = 7 × (𝜋 × 5) = 109.96 cm2 2) Top = 𝜋 × 2.52 = 19.63 cm2 3) Bottom = 𝜋 × 2.52 = 19.63 cm2 5 cm 5 cm Total Surface Area = 149.23 cm2 7 cm 425:75:385 EWR Circumference = 𝜋 x 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) = 47.12 cm2 2) Top = 𝜋 × 1.52 = 7.07 cm2 3) Bottom = 𝜋 × 1.52 = 7.07 cm2 Total Surface Area = 61.26 cm2

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 = 19.63 cm2 3) Bottom = 𝜋 × 2.52 = 19.63 cm2 Total Surface Area = 70.69 cm2

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) = 47.12 cm2 C 2) Top = 𝜋 × 1.52 = 7.07 cm2 6 cm 3) Bottom = 𝜋 × 1.52 = 7.07 cm2 Total Surface Area = 61.26 cm2 5 cm

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 = 87.96 cm2 5 cm 3 cm B SA = 89.54 cm2 8 cm This is a half-cylinder 1) Label = 5 × (𝜋 × 3) = 47.12 cm2 C 2) Top = 𝜋 × 1.52 = 7.07 cm2 6 cm 3) Bottom = 𝜋 × 1.52 = 7.07 cm2 SA = 96.76 cm2 Total Surface Area = 61.26 cm2 5 cm

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk