You place a steel ball with diameter 4cm in a water-filled cylinder that is 5cm in diameter and 10cm high. What volume of water will spill out of the cylinder?

I'm lost....

4 answers

what is the volume of the cylinder?

4/3 PI r^3
Do you know the formulas for the volumes of cylinders and spheres?
opps, I gave you the volume of the sphere, which is the amount of water that will be displaced by the sphere. If the cylinder was filled, and the sphere dropped in, then the volume of the sphere is the volume of the water which spills over.
The volume of the cylinder does not enter into the problem.
As Bob pointed out, the dropped sphere will simply displace its own volume, which is
(4/3)π(2^3) = 32π/3 cm^3

The sphere could have been dropped in any container, a fruit bowl, a coffee can, or whatever
as long as the container was filled to the top.