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The Sphere
The Cone
Any Prisms
Volume of SolidsVolume of Solidsw
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.math
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Int 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
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Volume of a Sphere
34Volume = πr
3
1r = radius = D
2
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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
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.
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D = 6 cm
r
D
4 3Volume = πr34 3 = π(3)3
3 = 36πcm
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 = radius
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r
h21
Volume Cone = πr h3
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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
Volume of SolidsVolume of Solids
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Definition : A prism is a solid shape with uniform cross-section
Triangular PrismVolume = Area x length
Q. Find the volume the triangular prism.
20cm210cm= 20 x 10 = 200 cm
3
Volume of SolidsVolume of Solids
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Int 2
Definition : A prism is a solid shape with uniform cross-section
Volume = Area x length
Q. Find the volume the hexagonal prism.43.2cm
2
20cm
= 43.2 x 20 = 864 cm3 Hexagonal Prism
Volume of SolidsVolume of Solids
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.
StarterStarterw
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Int 2
D = 6 cm
h = 10 cm
r
h
2
2
3
1Volume Cone = πr h
31
= π(3) ×10 3
= 30 cm
Volume of a SolidVolume of a Solid
21Volume Cone = πr h
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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 Solidw
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Q. Find the volume the composite shape.
Composite volume is simply volumes that are made up from basic volumes.
Volume = Cylinder + half a sphere
h = 6m r2m
2
2
3
V=πr h
=π(2) 6
=24π m
3
3
3
1 4V= ( πr )
2 31 4
= ( π(2) )2 316
= π m3
316 88Total 24 = π = 92.15m
3 3
½ sphereCylinder
Volume of a SolidVolume of a Solidw
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Q. This child’s toy is made from 2 identical cones. Calculate the total volume.
Composite Volumesare simply volumes that are made up from basic volumes.
Volume = 2 x cone
2
2
3
1V = πr h
31
= π (10) 303
= 3141.5cm
r = 10cm
h = 60cm
One cone
Two cone 3 = 2 3141.5 = 6283cm