Answer:
The diameter as calculated is 0.476 m
Solution:
As per the question:
Tension, T =

Density of water,

Density of the styrofoam,

Now,
To calculate the diameter, d of the ball:
With the help of the Archimedes's principle:
At equilibrium, upthrust equals the weight of the displaced liquid.
where
Mass, m =
(1)
where
V = Volume of ball

Force, F = mg
From eqn (1):
Force , F =
(1)
Now,
Net downward force is given by:
F' = F + T =
+ T (2)
Thus equating (1) and (2):
F = F'



Also, we know that for ball:

where
R = Radius of the ball

R = 0.238 m
Since, radius is known, the diameter is twice the radius:
Diameter, d = 2R =
