Ake the density of the crown to be ρc. what is the ratio of the crown's apparent weight (in water) wapparent to its actual weight wactual?

The ratio of crown's apparent weight to its actual weight is (1-.

Let then density of the crown is ρ_{c}, the density of the water is ρ_{w}. and the volume of the crown is V

The actual weight of the crown is given as

Wa=ρ_{c}×V×g

Since the volume of the water displaced by the crown is equal to the volume of crown, therefore the buoyancy force exert by the water on the crown is given as

Fw=ρ_{w}×V×g

The buoyancy force will act in the opposite direction of the weight of the crown, therefore the apparent weight of the crown is

Wapp=[ρ_{c}-ρ_{w}]×V×g

Now the ratio of the apparent weight to the actual weight is

== (1-

i don't know that i agree with that but what's the question ?