>>12981417given that the container is a cylinder, and the ice cube is a perfect cube, let the height of the container be "h", radius of the base of the container be "r", side length of the cube be "s", density of the ice cube be "d" and the depth by which the cube is submerged into water be "x"
For the ice cube to float on water the buoyant force needs to be equal to the mass of the submerged part of the ice cube. Therefore.
the volume of the water if the ice cube is removed will be
now we add the volume of the liquid water that used to be the ice cube, since it's liquid water, it's volume will be equal to it's mass, which is simply it's density times volume, which is
divide by the area of the base to get the height
the infers the water level will stay the same
QED
