A solid, homogeneous sphere with a mass of mo, a radius of ro and a density of P

Question

A solid, homogeneous sphere with a mass of mo, a radius of ro and a density of Po is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical arameters? Notation: r means the water level rises in the container, f means alls, s means stays the same. Combination answers like 'r or for s' are possible The new sphere has a radius of r > ro and a mass of m and a radius of r Po and a mass of m

Explanation / Answer

1. Water level fall

Because mass of new sphere is less and to remain in floating condition he will displace less volume

2. Water level fall

Since mass is less and density is greater hence it will displace smaller volume that lead to fall in water level

3. Water level may rise or fall or remain same (r or f or s)

Since we didn't know anything about mass we cant conclude anything from this statement

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