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Similar Cylinders

Age 14 to 16 Short Challenge Level:


A metal cube, of side 9 cm, is melted down and recast into two similar cylinders. 

The diameters of the cylinders are 4 cm and 8 cm. 

If no metal is lost in the process, what is the volume of the smaller cylinder?



This problem is adapted from 1000 Problems to Enjoy


You can find more short problems, arranged by curriculum topic, in our short problems collection.