A solid sphere of radius $$R=10\,cm$$ floats in water with $$60\%$$ of its volume submerged. In an oil, this sphere floats with $$80\%$$ of its volume submerged. If the density of water is $$1000\,kg/m^3$$, the correct statement(s) is or are that

A

the density of the material of sphere is $$600\,kg/m^3$$

B

the density of the oil is $$750\,kg/m^3$$

C

the weight of the sphere in air is close to $$24.64\,N$$

D

the loss in weight of the sphere when floating in oil is close to $$30.82\,N$$