Volume of Solids The Sphere The Cone Any Prisms Composite Prisms

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Presentation transcript:

Volume of Solids The Sphere The Cone Any Prisms Composite Prisms Int 2 The Sphere The Cone Any Prisms www.mathsrevision.com Composite Prisms

Starter Int 2 5 cm 3 cm 2.5 cm 3 cm 4 cm www.mathsrevision.com

Volume of a Sphere www.mathsrevision.com D = diameter r Int 2 D = diameter r D www.mathsrevision.com Q. If the above sphere has radius 10cm. Calculate it’s volume.

Starter Int 2 r D D = 6 cm www.mathsrevision.com

Volume of a Cone www.mathsrevision.com h r Int 2 h r www.mathsrevision.com If the above cone has radius 15cm and height of 10 cm. Calculate it’s volume.

Volume of Solids www.mathsrevision.com Int 2 Definition : A prism is a solid shape with uniform cross-section www.mathsrevision.com Hexagonal Prism Cylinder (circular Prism) Triangular Prism Pentagonal Prism Volume = Area of Cross section x length

Volume of Solids www.mathsrevision.com Int 2 Definition : A prism is a solid shape with uniform cross-section Q. Find the volume the triangular prism. www.mathsrevision.com Triangular Prism Volume = Area x length = 20 x 10 = 200 cm3 10cm 20cm2

Volume of Solids www.mathsrevision.com Int 2 Definition : A prism is a solid shape with uniform cross-section Q. Find the volume the hexagonal prism. 43.2cm2 www.mathsrevision.com Volume = Area x length 20cm Hexagonal Prism = 43.2 x 20 = 864 cm3

Starter Int 2 r h D = 6 cm h = 10 cm www.mathsrevision.com

is simply volumes that are made up from basic volumes. Volume of a Solid Int 2 Composite volume is simply volumes that are made up from basic volumes. r h r D www.mathsrevision.com Volume = Area x length

is simply volumes that are made up from basic volumes. Volume of a Solid Int 2 Composite volume is simply volumes that are made up from basic volumes. Q. Find the volume the composite shape. Volume = Cylinder + half a sphere www.mathsrevision.com Cylinder ½ sphere h = 6m r 2m

are simply volumes that are made up from basic volumes. Volume of a Solid Int 2 Composite Volumes are simply volumes that are made up from basic volumes. Q. This child’s toy is made from 2 identical cones. Calculate the total volume. Volume = 2 x cone www.mathsrevision.com r = 10cm One cone h = 60cm Two cone