Prob $10(10$ pts $)$ A small statue in the shape of a falcon has a weight of $24\mathrm{.}1$ N $.$ The owner of the statue claims it is made of solid gold.

When the statue is completely submerged in a container brimful of water, the weight of the water that spills over the top and into a bucket is $1\mathrm{.}25$ N $.$

Find the density and specific gravity of the metal. Is the density consistent with the claim that the falcon is solid gold? $($Density of gold is $19,320k\frac{g}{m^3}).$