Math CentralQuandaries & Queries


Question from Amirah:

What is the volume of a polystyrene cup with a height of 8cm, diameter of 5cm at the top and 4cm at the bottom when it is filled with water?


The shape you describe is called a truncated cone. I have taken am image of a coffee cp and extended the sides to make a cone.

coffee cup

The volume of the cup is the volume of the entire cone minus the volume of the yelow extension.


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