6cm 1) Find the area of this circle: A)28.3cm² B)113.1cm² C) 37.7cm² D) 18.8 cm² 6cm A)28.3cm² B)113.1cm² C) 37.7cm² D) 18.8 cm².

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Presentation transcript:

6cm 1) Find the area of this circle: A)28.3cm² B)113.1cm² C) 37.7cm² D) 18.8 cm² 6cm A)28.3cm² B)113.1cm² C) 37.7cm² D) 18.8 cm²

6cm 1) Find the area of this circle: Area = r ² = x 3 ² = 28.3 cm ² ( to 1 d.p.) A)28.3cm² B)113.1cm² C) 37.7cm² D) 18.8 cm² 6cm A)28.3cm² B)113.1cm² C) 37.7cm² D) 18.8 cm²

2) Find the area of this circle: 10cm A)314.2 cm ² B)31.4 cm ² C)78.5 cm ² D)15.7 cm ²

2) Find the area of this circle: 10cm A)314.2 cm ² B)31.4 cm ² C)78.5 cm ² D)15.7 cm ²

3) Find the area of this circle. Leave your answer in terms of : 8cm A)8 cm ² B)64 cm ² C)4 cm ² D)16 cm ²

3) Find the area of this circle. Leave your answer in terms of : 8cm A)8 cm ² B)64 cm ² C)4 cm ² D)16 cm ²

Cylinders Aim: to calculate the volume and surface area of a cylinder

A cylinder is a type of prism. Volume of a prism = Area of a circle = r ² Volume of cylinder = r² h A r e a o f c r o s s - s e c t i o n x l e n g t h / h e i g h t

5cm 6cm Volume of cylinder = r² h Calculate the volume of the cylinder: Volume = x (2.5) ² x 6 = 37.5 = cm ³ (to 1 dp)

10cm 13cm Volume of cylinder = r² h Calculate the volume of the cylinder: Volume = x 5 ² x 13 = 325 = cm ³ (to 1 dp)

Surface Area of a Cylinder Circumference = 2 r or d Height (h) d h Surface area of curved part of cylinder = d h

Area of top circle = r ² Area of bottom circle = r ² Total Surface Area of a Cylinder = d h + 2 r ²

4cm 6cm Calculate the total surface area of the cylinder: Total Surface Area of a Cylinder = d h + 2 r ² Surface Area = ( x 4 x 6) + (2 x x 2 ² ) = = 32 = cm ³ (to 1 d.p.)

8cm 10cm Calculate the total surface area of the cylinder: Total Surface Area of a Cylinder = d h + 2 r ² Surface Area = ( x 8 x 10) + (2 x x 4 ² ) = = 112 = cm ³ (to 1 d.p.)

Page 105 – 106; Ex 4E Q1, Q2a, Q3, Q5, Q6 Page 105 – 106; Ex 4E Q1, Q2a, Q3, Q5, Q6

June 2008 Higher Calculator Paper

I don’t know how to calculate the volume and surface area of a cylinder. I think I know how to calculate the volume and surface area of a cylinder, but need more practice. I know how to calculate the volume and surface area of a cylinder.