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Presentation transcript:

Starters

Starter: Matching circumferences Paul measured some circular objects but got them muddled up and measured one incorrectly. Work out the correct values and correct the mistake. Diameter Circumference 3 cm 5 cm 25 cm 16 cm 4 m 6.5 cm 10 cm 5 mm 8 cm x 15.5 cm 9.4cm 78cm 50cm 20.5cm 13m 31cm 1.6cm Choose from: 20.5cm 9.4cm 1.6cm 8cm 50cm 13m 78cm 31cm

Starter: What is a prism? No – just 2 dimensional Yes – 3D and exactly the same cross-section No – 3D but not exactly the same cross-section

Starter: Matching the areas For each of these 2 dimensional shapes, match it with the correct area. All measurements are in cm. 12 6 5 14 14 4 20 10 10 15 Choose from: 68 cm2 70 cm2 72 cm2 75 cm2 78.5 cm2 80 cm2

Example Questions

Practice: Surface area of a cylinder Find the surface area of these cylinders: 1) Radius 7 cm and Height 5 cm 2) Radius 10 cm and Height 15 cm 3) Diameter 4 m and Height 8 m 4) Radius 50 mm and Height 10 cm 5) Diameter 20 cm and Height 0.7 m Answers: 1) 527.52 cm2 2) 1570 cm2 3) 125.6 m2 4) 471 cm2 5) 5024 cm2 or 0.5024 m2 Challenge: 47 cm Challenge A cylinder has surface area of 942 cm2. Its radius is 3cm. What is its height?

Practice: Volume of a cylinder Find the volume of these cylinders: 1) Radius 10 cm and Height 15 cm 2) Diameter 6 m and Height 12 m 3) Radius 20 mm and Height 5 cm 4) A cylinder has volume of 7693 cm3. Its radius is 7cm. What is its height? 5) The volume of a cylinder is 1962.5 cm3. Its height is 100cm. What is its radius? Answers: 1) 4710 cm3 2) 339.12 m3 3) 62.8 cm3 4) 50 cm 5) 2.5 cm

Practice: Volume of a prisms Find the volume of these prisms: 2.5 cm 8cm 23cm 6 cm 8cm 20cm 9 cm 11cm 7cm 5.5 cm 6cm 10cm Answers: 480cm3 230cm3 693cm3 330cm3