Answer
The mass of the sphere is $~~1.2~kg$
Work Step by Step
The weight of the displaced liquid is equal to the weight of the sphere.
Thus the mass of the displaced liquid is equal to the mass of the sphere.
We can find the mass of the displaced liquid:
$m = \rho~V$
$m = (\rho)~(\frac{1}{2})(\frac{4}{3})(\pi~r^3)$
$m = (800~kg/m^3)~(\frac{1}{2})(\frac{4}{3})(\pi)~(0.090~m)^3$
$m = 1.2~kg$
The mass of the sphere is $~~1.2~kg$
