Unit 14 Volume, Sectors and Arcs

Unit 14 Volume, Sectors and Arcs

Unit 14 Volume, Sectors and Arcs Presentation 1 Volume of Cube, Cuboid, Cylinder and Triang ular Prism Presentation 2 Mass, Volume and Density Presentation 3 Sector Area and Arc Length

Presentation 4 Volume of Pyramid, Cone and Sphere Unit 14 Volume, Sectors and Arcs Volume of Cube, Cuboid, Cylinder and Triangular Prism Cube Volume = a3 Cuboid

Volume = abc Cylinder Volume = r2h Triangular Prism Volume = Al Volume = Problem Set & Answers a) tank?

What is the area, in cm2, of the base of the Area of base = ? ? h ? Water is poured into the tank, to a height of 15 cm.

40cm 75cm 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 ? ? ? ? ? Unit 14 Volume, Sectors and Arcs You have finished viewing:

Volume of Cube, Cuboid, Cylinder and Triangular Prism Return to front slide Presentation 1 Volume of Cube, Cuboid, Cylinder and Triang ular Prism Presentation 2 Mass, Volume and Density Presentation 3 Sector Area and Arc Length

Presentation 4 Volume of Pyramid, Cone and Sphere Unit 14 Volume, Sectors and Arcs Mass, Volume and Density Mass = Volume

= Density = Problem: Find the mass of water in the fish tank Solution: Volume, Mass = ? ? ? ?

Note: Density of water = 1 g/cm3 Unit 14 Volume, Sectors and Arcs You have finished viewing: Mass, Volume and Density Return to front slide Presentation 1 Volume of Cube, Cuboid, Cylinder and Triangular Prism Presentation 2

Mass, Volume and Density Presentation 3 Sector Area and Arc Length Presentation 4 Volume 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 o, then the arc length, l, is given by: Arc Length ? Example Arc length ? ? ? ?

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

? Unit 14 Volume, Sectors and Arcs You have finished viewing: Sector Area and Arc Length Return to front slide Presentation 1 Volume of Cube, Cuboid, Cylinder and Triangular Prism Presentation 2

Mass, Volume and Density Presentation 3 Sector Area and Arc Length Presentation 4 Volume 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 1 Volume of Cube, Cuboid, Cylinder and Triangular Prism Presentation 2

Mass, Volume and Density Presentation 3 Sector Area and Arc Length Presentation 4 Volume of Pyramid, Cone and Sphere

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