Unit 14 Volume, Sectors and Arcs Presentation 1Volume of Cube, Cuboid, Cylinder and Triangular Prism Presentation 2Mass, Volume and Density Presentation 3Sector Area and Arc Length Presentation 4Volume of Pyramid, Cone and Sphere

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

Cube Volume = a 3

Cuboid Volume = abc

Cylinder Volume = πr 2 h

Triangular Prism Volume = Al Volume =

Water is poured into the tank, to a height of 15 cm. b) Calculate, in cm 3, 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 1000cm 3 of water, so 75cm 40cm h Problem Set & Answers a)What is the area, in cm 2, of the base of the tank? Area of base = ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?

Unit 14 Volume, Sectors and Arcs You have finished viewing: Volume of Cube, Cuboid, Cylinder and Triangular Prism Return to front slide Presentation 1Volume of Cube, Cuboid, Cylinder and Triangular Prism Presentation 2Mass, Volume and Density Presentation 3Sector Area and Arc Length Presentation 4Volume of Pyramid, Cone and Sphere

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

Mass= Volume= Density= Note: Density of water = 1 g/cm 3 Problem: Find the mass of water in the fish tank Solution: Volume, Mass = ? ? ? ? ? ? ? ?

Unit 14 Volume, Sectors and Arcs You have finished viewing: Mass, Volume and Density Return to front slide Presentation 1Volume of Cube, Cuboid, Cylinder and Triangular Prism Presentation 2Mass, Volume and Density Presentation 3Sector Area and Arc Length Presentation 4Volume of Pyramid, Cone and Sphere

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

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

Sector Area Example Sector Area, A ? ? ? ? ? ? ? ? ? ? ? ? Area of Sector

Unit 14 Volume, Sectors and Arcs You have finished viewing: Sector Area and Arc Length Return to front slide Presentation 1Volume of Cube, Cuboid, Cylinder and Triangular Prism Presentation 2Mass, Volume and Density Presentation 3Sector Area and Arc Length Presentation 4Volume of Pyramid, Cone and Sphere

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

Pyramid Cone Sphere

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, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?

Unit 14 Volume, Sectors and Arcs You have finished viewing: Volume of Pyramid, Cone and Sphere Return to front slide Presentation 1Volume of Cube, Cuboid, Cylinder and Triangular Prism Presentation 2Mass, Volume and Density Presentation 3Sector Area and Arc Length Presentation 4Volume of Pyramid, Cone and Sphere