Answer:
T = mg -  [tex]\rho_f[/tex]×V×g
Explanation:
Here we have the mass of the ball is given as [tex]m_b[/tex]
The density of the fluid = [tex]\rho_f[/tex]
The volume of the ball = V
Acceleration due to gravity = g
According to Archimedes's principle, the upthrust = Weight of fluid displaced
Tension in string = T = weight of ball - upthrust
T = mg -  [tex]\rho_f[/tex]×V×g