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Unit 14 Volume, Sectors and Arcs

Unit 14 Volume, Sectors and Arcs. Unit 14 Volume, Sectors and Arcs. Volume of Cube, Cuboid, Cylinder and Triangular Prism. Cube. Volume = a 3. Cuboid. Volume = abc. Cylinder. Volume = π r 2 h. Triangular Prism. Volume = Al. Volume =. Problem Set & Answers

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Unit 14 Volume, Sectors and Arcs

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  1. Unit 14Volume, Sectors and Arcs

  2. Unit 14Volume, Sectors and Arcs Volume of Cube, Cuboid, Cylinder and Triangular Prism

  3. Cube Volume = a3

  4. Cuboid Volume = abc

  5. Cylinder Volume = πr2h

  6. Triangular Prism Volume = Al Volume =

  7. Problem Set & Answers a) What is the area, in cm2, of the base of the tank? Area of base = h ? ? ? 40cm Water is poured into the tank, to a height of 15 cm. b) Calculate, in cm3, the volume of water in the tank. Volume = c) If the tank holds 84 litres when full, calculate the height, h, in cm, of water when the tank is full. When full, the tank holds 84 x 1000cm3 of water, so 75cm ? ? ? ? ? ? ? ?

  8. Unit 14Volume, Sectors and Arcs You have finished viewing: Volume of Cube, Cuboid, Cylinder and Triangular Prism

  9. Unit 14Volume, Sectors and Arcs Mass, Volume and Density

  10. Note: Density of water = 1 g/cm3 Problem: Find the mass of water in the fish tank Solution: Volume, Mass = ? ? ? ?

  11. Unit 14Volume, Sectors and Arcs You have finished viewing: Mass, Volume and Density

  12. Unit 14Volume, Sectors and Arcs Sector Area and Arc Length

  13. Arc Length If the angle subtended by the arc at the centre of the circle is θo, then the arc length, l, is given by: Example Arc length Arc Length ? ? ? ? ? ?

  14. Sector Area Example Sector Area, A Area of Sector ? ? ? ? ? ?

  15. Unit 14Volume, Sectors and Arcs You have finished viewing: Sector Area and Arc Length

  16. Unit 14Volume, Sectors and Arcs Volume of Pyramid, Cone and Sphere

  17. Pyramid Cone Sphere

  18. Problem A cone and sphere have the same radius of 12 cm. If the cone and sphere have the same volume, find the height of the cone. Solution If height of cone is h, then Volume of cone Volume of sphere As the volumes are equal, ? ? ? ? ? ? ? ? ?

  19. Unit 14Volume, Sectors and Arcs You have finished viewing: Volume of Pyramid, Cone and Sphere

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