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A builder has a sheet of plastic measuring 2m by 50cm, which he uses to make drains. The semi-circle is the best shape for a drain. Prove this.  

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Drain Pipes Introduction A builder has a sheet of plastic measuring 2m by 50cm, which he uses to make drains. The semi-circle is the best shape for a drain. Prove this. I will prove this by comparing its volume to that of other shapes. On older houses there are semi-circular drains but on newer houses there is fancier ones like pentagon shapes. Is this because they are better or is it simply for design? To find the volume of a 3D object I have to find the area of a cross section and then multiply that by the length of the object. To make it easier I'm going to change the dimensions of the 2m to 200cm so that the entire dimensions are the same. We are now working with dimensions of 200cm and 50cm. Semi Circle Drain The first drain we are going to measure is the semi-circular one. So that we can compare...

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