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Published byBrendan Catterton
Modified over 4 years ago
6cm 1) Find the area of this circle: 6cm
1) Find the area of this circle: Area = r ² = x 3 ² = 28.3 cm ² 6cm A)28.3cm²
2) Find the area of this circle: 10cm
2) Find the area of this circle: 10cm 78.5 cm ² Area = r ² = x 5 ² = 78.5 cm ²
3) Find the area of this circle. Leave your answer in terms of : 8cm
3) Find the area of this circle. Leave your answer in terms of : 8cm 16 cm ²
Cylinders Aim: to calculate the volume 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 = 117.8 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 = 1021.0 cm ³ (to 1 dp)
June 2008 Higher Calculator Paper
I don’t know how to calculate the volume and of a cylinder. I think I know how to calculate the volume of a cylinder, but need more practice. I know how to calculate the volume of a cylinder.
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 ) = 24 + 8 = 32 = 100.5 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 ) = 80 + 32 = 112 = 351.9 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
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