Math CentralQuandaries & Queries


Question from Fiona, a student:

Hi the question i have is, if I have a cylinder filled with water and the volume of the water is 150Pi what would the rise in the level of the water be if you put a sphere into the cylinder with a volume of 500/3Pi? Sorry if it's a bit long winded

Hi Fiona,

Is there something left out of this problem? The rise in water level depends on the radius of the cylinder. The water level in a cylinder with a large radius will rise less than the water level in a cylinder with a small radius. On the other hand it might be a trick problem. If the cylinder is filled then putting a sphere into it will spill some water out but the level won't rise.


About Math Central


Math Central is supported by the University of Regina and the Imperial Oil Foundation.
Quandaries & Queries page Home page University of Regina