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# Volume of cylinders

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Year 8 Maths activity to calculate the volume of cylinders using photographs of containers and tanks on the farm.

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### Volume of cylinders

1. 1. Year 8 Maths: Measurement and Space <br />Learning Intention: “To understand the measurements required and how to calculate the volume of a cylinder.”<br />
2. 2. Volume of a Cylinder<br />The volume of any prism is equal to the area of the base multiplied by the height (or the distance between congruent faces).<br />The area of a circle is equal to A= Π r²<br />Π = approx. 3.14 or 22/7 and r = radius<br />So, the volume of a cylinder = Π r² x height<br />
3. 3. Volume = Πr² x height<br />V = 3.14 x 1.5 x 1.5 x 2<br />V = 14.3m³<br />1m³ = 1000 litres<br />So the capacity of the tank is 14,300 litres.<br />