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An ore sample weighs 19.8 N in air. When the sample is suspended by a light cord and totally immersed in water, the tension in the cord is 11.5 N.

Find the total volume of the sample.

Take the density of water to be rho_water = 1000 kg/m^3 and the free fall acceleration to be g = 9.80 m/s^2.

heres the equation i figured out for this type of problem.

force of buoyancy=density*volume* gravity.

alright is the force of buoyancy for air and water 19.8 and 11.5 respectively?

if so wont i just have to multiply grvity times thhier densities divided by the force to find the volumes then add them up?