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3:2 powerpointmaths.com Quality resources for the mathematics classroom Reduce your workload and cut down planning Enjoy a new teaching experience Watch your students interest and enjoyment grow Key concepts focused on and driven home Over 100 files available with many more to come 1000’s of slides with nice graphics and effects. powerpointmaths.com Get ready to fly! © Powerpointmaths.com All rights reserved.

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h Volume = r 2 h The Volume of a Cylinder A cylinder is a prism with a circular cross-section. r2r2

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10 cm The Volume of a Cylinder Calculate the volume of the following cylinders. 15 m 4.2mm 9.2 mm 3 cm 2 m 1 2 3 V = r 2 h = x 3 2 x 10 = 282.7 cm 3 V = r 2 h = x 2 2 x 15 = 188.5 m 3 V = r 2 h = x 4.6 2 x 4.2 = 279.2 mm 3

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V = r 2 h = x 3.1 2 x 4 = 120.8 m 3 100 cm 1m 3 The Volume of a Cylinder Find the capacity (in litres) of the water storage tank. 4 m 6.2m 1 m 3 =100 x 100 x100 = 1000 000 cm 3 = 1 000 litres V = 121 000 litres (3 sf)

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V = r 2 h = x 4.2 2 x 3 = 166.3 m 3 V = 166 000 litres (3 sf) 100 cm 1m 3 The Volume of a Cylinder Find the capacity (in litres) of the water storage tank. 3 m 8.4m

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The Volume of a Cylinder Find the height of the cylinder. h m 6m Volume = 56.5 m 3

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The Volume of a Cylinder Find the radius of the cylinder. r m 1.5m Volume = 2.44 m 3

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The Volume of a Cylinder Find the height of the cylinder. h m 8m Volume = 72.1 m 3

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The Volume of a Cylinder Find the radius of the cylinder. r m 1.8m Volume = 3.26 m 3

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12-3: Volumes of Prisms and Cylinders. V OLUME : the measurement of space within a solid figure Volume is measured in cubic units The volume of a prism.

12-3: Volumes of Prisms and Cylinders. V OLUME : the measurement of space within a solid figure Volume is measured in cubic units The volume of a prism.

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