The Sphere

The Sphere

The Cone

Any Prisms

Volume of SolidsVolume of SolidsInt 2

Composite Prisms

StarterStarter

1. Calculate the area of the following shapes.

2. Round to 3 sig. figures.

(a) 47856 (b) 0.065797 (c) 2.05700

Q3. Find 30% of £ 360

5 cm

2.5 cm3 cm

4 cm

3 cm

Int 2

Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To know the volume To know the volume formula for a sphere.formula for a sphere.

1. To understand thesphere formula and use itappropriately. 2.2. Work out volumes for Work out volumes for

spheres.spheres.

3.3. Answer to containAnswer to contain appropriate units and appropriate units and

working.working.

Int 2

Volume of SolidsVolume of Solids

Volume of a Sphere

34Volume = πr

3

1r = radius = D

2

Int 2

r

D

D = diameter

Q. If the above sphere has radius 10cm. Calculate it’s volume.

3 34Volume = π(10) =4187cm ( to 4 sig. figs)

3

Now try MIA Ex 1Ch3 (page 20)

Int 2


StarterStarter

Q1. Calculate the volume of the following sphere.

Q2. Car depreciates 10% each year. What is

it's value after 3 years if it's initial value was £3,000.

Int 2

D = 6 cm

r

D

4 3Volume = πr34 3 = π(3)3

3 = 36πcm


1.1. To know the volume To know the volume formula for a cone.formula for a cone.

1. To understand thecone formula and use itappropriately.

2.2. Work out volumes for Work out volumes for various cones.various cones.


working.working.

Int 2


Q. If the above cone has radius 15cm and heightof 10 cm. Calculate it’s volume.

Volume of a Cone

h = Perpendicular height

2 31Volume = π(15) 10 = 2355cm

3

r = radiusInt 2

r

h21

Volume Cone = πr h3

Now try MIA Ex 2Ch3 (page 22)

Int 2


StarterStarter

1. Calculate the area of the following shapes.

2. Round to 3 sig. figures.

(a) 47856 (b) 0.065797 (c) 2.05700

Q3. Find 30% of £ 360

6 cm

6 cm

5 cm

Int 2

r = 3cm

8 cm


1.1. To know the volume To know the volume formula for any prism.formula for any prism.

1. To understand theprism formula for calculating volume.

2.2. Work out volumes for Work out volumes for various prisms.various prisms.


working.working.

Int 2

Volume of SolidsVolume of SolidsPrisms

Int 2

Definition : A prism is a solid shape with uniform cross-section

Cylinder(circular Prism) Pentagonal PrismTriangular Prism

Hexagonal Prism

Volume = Area of Cross section x length V = A x l


Int 2


Triangular PrismVolume = Area x length

Q. Find the volume the triangular prism.

20cm210cmV = 20 x 10

= 200 cm3


Int 2


Volume = Area x length

Q. Find the volume the hexagonal prism.43.2cm

2

20cm

= 43.2 x 20 = 864 cm3 Hexagonal Prism


Now try MIA Ex 3,4Ch3 (page 24/25)

Int 2


Q1. Calculate the volume of the following cone.

Q2. My wages increased by 10% this year. My new wage

is £1200. What was my wage before the increase.

StarterStarterInt 2

D = 6 cm

h = 10 cm

r

h

2

2

3

1Volume Cone = πr h

31

= π(3) ×10 3

= 30 cm


1.1. To know what a To know what a composite volume is.composite volume is.

1. To calculate volumes for composite shapes using knowledge from previous sections. 2.2. Work out composite Work out composite

volumes using previous volumes using previous knowledge of basic knowledge of basic prisms.prisms.


working.working.

Int 2

Volume of SolidsVolume of SolidsPrisms

Volume of a SolidVolume of a Solid

21Volume Cone = πr h

3

Int 2

Composite volume is simply volumes that are made up from basic volumes.

r

D

r

h

Volume = Area x length

34Volume = πr

3

Volume of a SolidVolume of a SolidInt 2

Q. Find the volume the composite shape.

Composite volumesare simply volumes that are made up from basic volumes.

Volume = Cylinder + half a sphere2 3

2 3

1 4V=πr h + ( πr )

2 31 4

=π(2) 6 + ( π(2) )2 3

2 =24π + π(8)

316

=24π + π3

88 = π

3

h = 6m r2m

Volume of a SolidVolume of a SolidInt 2

Q. This child’s toy is made from 2 identical cones. Calculate the total volume.

Volume = 2 x cone

2

2

3

1V = 2 πr h

32

= π (10) 603

= 4000cm

r = 10cm

h = 60cm

The Sphere

Documents

Transcript of The Sphere