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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.

Penny

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